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Finding the Fourth Proportional to 3,587.64, 5,381.97 and 1,737.23

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Solution

The fourth proportional to 3,587.64, 5,381.97 and 1,737.23 is: 2,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.64 : 5,381.97 = 1,737.23 : x
  2. Step 2: Convert to fraction form
    3,587.64/5,381.97 = 1,737.23/x
  3. Step 3: Cross multiply
    3,587.64x = 5,381.97 × 1,737.23
  4. Step 4: Simplify right side
    3,587.64x = 9,349,711.06
  5. Step 5: Solve for x
    x = 9,349,711.06/3,587.64
  6. Step 6: Final answer
    x = 2,606.09

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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.