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Finding the Fourth Proportional to 3,531.19, 5,296.77 and 862.75

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Solution

The fourth proportional to 3,531.19, 5,296.77 and 862.75 is: 1,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.19 : 5,296.77 = 862.75 : x
  2. Step 2: Convert to fraction form
    3,531.19/5,296.77 = 862.75/x
  3. Step 3: Cross multiply
    3,531.19x = 5,296.77 × 862.75
  4. Step 4: Simplify right side
    3,531.19x = 4,569,765.22
  5. Step 5: Solve for x
    x = 4,569,765.22/3,531.19
  6. Step 6: Final answer
    x = 1,294.11

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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.