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Finding the Fourth Proportional to 3,725.91, 5,588.86 and 952.58

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Solution

The fourth proportional to 3,725.91, 5,588.86 and 952.58 is: 1,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.91 : 5,588.86 = 952.58 : x
  2. Step 2: Convert to fraction form
    3,725.91/5,588.86 = 952.58/x
  3. Step 3: Cross multiply
    3,725.91x = 5,588.86 × 952.58
  4. Step 4: Simplify right side
    3,725.91x = 5,323,836.26
  5. Step 5: Solve for x
    x = 5,323,836.26/3,725.91
  6. Step 6: Final answer
    x = 1,428.87

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1.5x scale

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.