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Finding the Fourth Proportional to 5,167.32, 7,131 and 2,809.61

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Solution

The fourth proportional to 5,167.32, 7,131 and 2,809.61 is: 3,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.32 : 7,131 = 2,809.61 : x
  2. Step 2: Convert to fraction form
    5,167.32/7,131 = 2,809.61/x
  3. Step 3: Cross multiply
    5,167.32x = 7,131 × 2,809.61
  4. Step 4: Simplify right side
    5,167.32x = 20,035,328.91
  5. Step 5: Solve for x
    x = 20,035,328.91/5,167.32
  6. Step 6: Final answer
    x = 3,877.32

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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.