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Finding the Fourth Proportional to 3,725.34, 5,588.01 and 952.01

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Solution

The fourth proportional to 3,725.34, 5,588.01 and 952.01 is: 1,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.34 : 5,588.01 = 952.01 : x
  2. Step 2: Convert to fraction form
    3,725.34/5,588.01 = 952.01/x
  3. Step 3: Cross multiply
    3,725.34x = 5,588.01 × 952.01
  4. Step 4: Simplify right side
    3,725.34x = 5,319,841.40
  5. Step 5: Solve for x
    x = 5,319,841.40/3,725.34
  6. Step 6: Final answer
    x = 1,428.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.