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Finding the Fourth Proportional to 3,725.27, 5,588.71 and 1,128

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Solution

The fourth proportional to 3,725.27, 5,588.71 and 1,128 is: 1,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.27 : 5,588.71 = 1,128 : x
  2. Step 2: Convert to fraction form
    3,725.27/5,588.71 = 1,128/x
  3. Step 3: Cross multiply
    3,725.27x = 5,588.71 × 1,128
  4. Step 4: Simplify right side
    3,725.27x = 6,304,062.06
  5. Step 5: Solve for x
    x = 6,304,062.06/3,725.27
  6. Step 6: Final answer
    x = 1,692.25

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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.