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Finding the Fourth Proportional to 3,745.57, 5,614.08 and 2,281.48

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Solution

The fourth proportional to 3,745.57, 5,614.08 and 2,281.48 is: 3,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.57 : 5,614.08 = 2,281.48 : x
  2. Step 2: Convert to fraction form
    3,745.57/5,614.08 = 2,281.48/x
  3. Step 3: Cross multiply
    3,745.57x = 5,614.08 × 2,281.48
  4. Step 4: Simplify right side
    3,745.57x = 12,808,411.24
  5. Step 5: Solve for x
    x = 12,808,411.24/3,745.57
  6. Step 6: Final answer
    x = 3,419.62

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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.