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Finding the Fourth Proportional to 3,728.25, 5,588.13 and 1,534.26

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Solution

The fourth proportional to 3,728.25, 5,588.13 and 1,534.26 is: 2,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 5,588.13 = 1,534.26 : x
  2. Step 2: Convert to fraction form
    3,728.25/5,588.13 = 1,534.26/x
  3. Step 3: Cross multiply
    3,728.25x = 5,588.13 × 1,534.26
  4. Step 4: Simplify right side
    3,728.25x = 8,573,644.33
  5. Step 5: Solve for x
    x = 8,573,644.33/3,728.25
  6. Step 6: Final answer
    x = 2,299.64

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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.