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Finding the Fourth Proportional to 5,702.76, 7,867.60 and 3,344.04

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Solution

The fourth proportional to 5,702.76, 7,867.60 and 3,344.04 is: 4,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.76 : 7,867.60 = 3,344.04 : x
  2. Step 2: Convert to fraction form
    5,702.76/7,867.60 = 3,344.04/x
  3. Step 3: Cross multiply
    5,702.76x = 7,867.60 × 3,344.04
  4. Step 4: Simplify right side
    5,702.76x = 26,309,569.10
  5. Step 5: Solve for x
    x = 26,309,569.10/5,702.76
  6. Step 6: Final answer
    x = 4,613.48

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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.