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Finding the Fourth Proportional to 3,732.40, 5,599.23 and 1,539.93

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Solution

The fourth proportional to 3,732.40, 5,599.23 and 1,539.93 is: 2,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.40 : 5,599.23 = 1,539.93 : x
  2. Step 2: Convert to fraction form
    3,732.40/5,599.23 = 1,539.93/x
  3. Step 3: Cross multiply
    3,732.40x = 5,599.23 × 1,539.93
  4. Step 4: Simplify right side
    3,732.40x = 8,622,394.26
  5. Step 5: Solve for x
    x = 8,622,394.26/3,732.40
  6. Step 6: Final answer
    x = 2,310.15

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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.