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Finding the Fourth Proportional to 3,687.33, 5,523.71 and 1,737.26

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Solution

The fourth proportional to 3,687.33, 5,523.71 and 1,737.26 is: 2,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.33 : 5,523.71 = 1,737.26 : x
  2. Step 2: Convert to fraction form
    3,687.33/5,523.71 = 1,737.26/x
  3. Step 3: Cross multiply
    3,687.33x = 5,523.71 × 1,737.26
  4. Step 4: Simplify right side
    3,687.33x = 9,596,084.13
  5. Step 5: Solve for x
    x = 9,596,084.13/3,687.33
  6. Step 6: Final answer
    x = 2,602.45

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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.