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Finding the Fourth Proportional to 4,937.28, 7,406.31 and 1,650.39

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Solution

The fourth proportional to 4,937.28, 7,406.31 and 1,650.39 is: 2,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.28 : 7,406.31 = 1,650.39 : x
  2. Step 2: Convert to fraction form
    4,937.28/7,406.31 = 1,650.39/x
  3. Step 3: Cross multiply
    4,937.28x = 7,406.31 × 1,650.39
  4. Step 4: Simplify right side
    4,937.28x = 12,223,306.15
  5. Step 5: Solve for x
    x = 12,223,306.15/4,937.28
  6. Step 6: Final answer
    x = 2,475.72

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