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Finding the Fourth Proportional to 3,531.48, 5,296.62 and 934.68

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Solution

The fourth proportional to 3,531.48, 5,296.62 and 934.68 is: 1,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.48 : 5,296.62 = 934.68 : x
  2. Step 2: Convert to fraction form
    3,531.48/5,296.62 = 934.68/x
  3. Step 3: Cross multiply
    3,531.48x = 5,296.62 × 934.68
  4. Step 4: Simplify right side
    3,531.48x = 4,950,644.78
  5. Step 5: Solve for x
    x = 4,950,644.78/3,531.48
  6. Step 6: Final answer
    x = 1,401.86

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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.