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Finding the Fourth Proportional to 3,725.59, 5,588.37 and 952.26

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Solution

The fourth proportional to 3,725.59, 5,588.37 and 952.26 is: 1,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.59 : 5,588.37 = 952.26 : x
  2. Step 2: Convert to fraction form
    3,725.59/5,588.37 = 952.26/x
  3. Step 3: Cross multiply
    3,725.59x = 5,588.37 × 952.26
  4. Step 4: Simplify right side
    3,725.59x = 5,321,548.51
  5. Step 5: Solve for x
    x = 5,321,548.51/3,725.59
  6. Step 6: Final answer
    x = 1,428.38

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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.