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Finding the Fourth Proportional to 3,531.24, 5,296.86 and 934.16

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Solution

The fourth proportional to 3,531.24, 5,296.86 and 934.16 is: 1,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.24 : 5,296.86 = 934.16 : x
  2. Step 2: Convert to fraction form
    3,531.24/5,296.86 = 934.16/x
  3. Step 3: Cross multiply
    3,531.24x = 5,296.86 × 934.16
  4. Step 4: Simplify right side
    3,531.24x = 4,948,088.25
  5. Step 5: Solve for x
    x = 4,948,088.25/3,531.24
  6. Step 6: Final answer
    x = 1,401.23

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