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Finding the Fourth Proportional to 3,154.32, 4,728 and 1,591.20

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Solution

The fourth proportional to 3,154.32, 4,728 and 1,591.20 is: 2,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.32 : 4,728 = 1,591.20 : x
  2. Step 2: Convert to fraction form
    3,154.32/4,728 = 1,591.20/x
  3. Step 3: Cross multiply
    3,154.32x = 4,728 × 1,591.20
  4. Step 4: Simplify right side
    3,154.32x = 7,523,193.60
  5. Step 5: Solve for x
    x = 7,523,193.60/3,154.32
  6. Step 6: Final answer
    x = 2,385.04

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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.