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Finding the Fourth Proportional to 3,539.87, 5,309.85 and 1,538.11

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Solution

The fourth proportional to 3,539.87, 5,309.85 and 1,538.11 is: 2,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.87 : 5,309.85 = 1,538.11 : x
  2. Step 2: Convert to fraction form
    3,539.87/5,309.85 = 1,538.11/x
  3. Step 3: Cross multiply
    3,539.87x = 5,309.85 × 1,538.11
  4. Step 4: Simplify right side
    3,539.87x = 8,167,115.92
  5. Step 5: Solve for x
    x = 8,167,115.92/3,539.87
  6. Step 6: Final answer
    x = 2,307.18

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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.