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Finding the Fourth Proportional to 3,531.73, 5,297.05 and 934.87

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Solution

The fourth proportional to 3,531.73, 5,297.05 and 934.87 is: 1,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.73 : 5,297.05 = 934.87 : x
  2. Step 2: Convert to fraction form
    3,531.73/5,297.05 = 934.87/x
  3. Step 3: Cross multiply
    3,531.73x = 5,297.05 × 934.87
  4. Step 4: Simplify right side
    3,531.73x = 4,952,053.13
  5. Step 5: Solve for x
    x = 4,952,053.13/3,531.73
  6. Step 6: Final answer
    x = 1,402.16

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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.