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Finding the Fourth Proportional to 5,847,616.81, 8,754,321.04 and 3,411,320.68

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Solution

The fourth proportional to 5,847,616.81, 8,754,321.04 and 3,411,320.68 is: 5,107,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847,616.81 : 8,754,321.04 = 3,411,320.68 : x
  2. Step 2: Convert to fraction form
    5,847,616.81/8,754,321.04 = 3,411,320.68/x
  3. Step 3: Cross multiply
    5,847,616.81x = 8,754,321.04 × 3,411,320.68
  4. Step 4: Simplify right side
    5,847,616.81x = 29,863,796,359,339.50
  5. Step 5: Solve for x
    x = 29,863,796,359,339.50/5,847,616.81
  6. Step 6: Final answer
    x = 5,107,002.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.