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Finding the Fourth Proportional to 4,737.60, 6,523.20 and 4,073.28

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Solution

The fourth proportional to 4,737.60, 6,523.20 and 4,073.28 is: 5,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.60 : 6,523.20 = 4,073.28 : x
  2. Step 2: Convert to fraction form
    4,737.60/6,523.20 = 4,073.28/x
  3. Step 3: Cross multiply
    4,737.60x = 6,523.20 × 4,073.28
  4. Step 4: Simplify right side
    4,737.60x = 26,570,820.10
  5. Step 5: Solve for x
    x = 26,570,820.10/4,737.60
  6. Step 6: Final answer
    x = 5,608.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.