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Finding the Fourth Proportional to 3,686.20, 5,529.16 and 1,737

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Solution

The fourth proportional to 3,686.20, 5,529.16 and 1,737 is: 2,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.20 : 5,529.16 = 1,737 : x
  2. Step 2: Convert to fraction form
    3,686.20/5,529.16 = 1,737/x
  3. Step 3: Cross multiply
    3,686.20x = 5,529.16 × 1,737
  4. Step 4: Simplify right side
    3,686.20x = 9,604,150.92
  5. Step 5: Solve for x
    x = 9,604,150.92/3,686.20
  6. Step 6: Final answer
    x = 2,605.43

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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.