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Finding the Fourth Proportional to 4,977.18, 7,461.45 and 2,509.92

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Solution

The fourth proportional to 4,977.18, 7,461.45 and 2,509.92 is: 3,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.18 : 7,461.45 = 2,509.92 : x
  2. Step 2: Convert to fraction form
    4,977.18/7,461.45 = 2,509.92/x
  3. Step 3: Cross multiply
    4,977.18x = 7,461.45 × 2,509.92
  4. Step 4: Simplify right side
    4,977.18x = 18,727,642.58
  5. Step 5: Solve for x
    x = 18,727,642.58/4,977.18
  6. Step 6: Final answer
    x = 3,762.70

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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.