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Finding the Fourth Proportional to 5,702.08, 7,867.20 and 3,344.32

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Solution

The fourth proportional to 5,702.08, 7,867.20 and 3,344.32 is: 4,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.08 : 7,867.20 = 3,344.32 : x
  2. Step 2: Convert to fraction form
    5,702.08/7,867.20 = 3,344.32/x
  3. Step 3: Cross multiply
    5,702.08x = 7,867.20 × 3,344.32
  4. Step 4: Simplify right side
    5,702.08x = 26,310,434.30
  5. Step 5: Solve for x
    x = 26,310,434.30/5,702.08
  6. Step 6: Final answer
    x = 4,614.18

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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.