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Finding the Fourth Proportional to 3,725.47, 5,588.19 and 952.14

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Solution

The fourth proportional to 3,725.47, 5,588.19 and 952.14 is: 1,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.47 : 5,588.19 = 952.14 : x
  2. Step 2: Convert to fraction form
    3,725.47/5,588.19 = 952.14/x
  3. Step 3: Cross multiply
    3,725.47x = 5,588.19 × 952.14
  4. Step 4: Simplify right side
    3,725.47x = 5,320,739.23
  5. Step 5: Solve for x
    x = 5,320,739.23/3,725.47
  6. Step 6: Final answer
    x = 1,428.21

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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.