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Finding the Fourth Proportional to 5,252.99, 7,855.92 and 4,671.68

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Solution

The fourth proportional to 5,252.99, 7,855.92 and 4,671.68 is: 6,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.99 : 7,855.92 = 4,671.68 : x
  2. Step 2: Convert to fraction form
    5,252.99/7,855.92 = 4,671.68/x
  3. Step 3: Cross multiply
    5,252.99x = 7,855.92 × 4,671.68
  4. Step 4: Simplify right side
    5,252.99x = 36,700,305.07
  5. Step 5: Solve for x
    x = 36,700,305.07/5,252.99
  6. Step 6: Final answer
    x = 6,986.56

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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.