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Finding the Fourth Proportional to 4,141.60, 6,209.84 and 1,543.20

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Solution

The fourth proportional to 4,141.60, 6,209.84 and 1,543.20 is: 2,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.60 : 6,209.84 = 1,543.20 : x
  2. Step 2: Convert to fraction form
    4,141.60/6,209.84 = 1,543.20/x
  3. Step 3: Cross multiply
    4,141.60x = 6,209.84 × 1,543.20
  4. Step 4: Simplify right side
    4,141.60x = 9,583,025.09
  5. Step 5: Solve for x
    x = 9,583,025.09/4,141.60
  6. Step 6: Final answer
    x = 2,313.85

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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.