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Finding the Fourth Proportional to 5,702.52, 7,869.54 and 3,344.70

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Solution

The fourth proportional to 5,702.52, 7,869.54 and 3,344.70 is: 4,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.52 : 7,869.54 = 3,344.70 : x
  2. Step 2: Convert to fraction form
    5,702.52/7,869.54 = 3,344.70/x
  3. Step 3: Cross multiply
    5,702.52x = 7,869.54 × 3,344.70
  4. Step 4: Simplify right side
    5,702.52x = 26,321,250.44
  5. Step 5: Solve for x
    x = 26,321,250.44/5,702.52
  6. Step 6: Final answer
    x = 4,615.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.