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Finding the Fourth Proportional to 5,937.30, 8,188.92 and 3,837.78

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Solution

The fourth proportional to 5,937.30, 8,188.92 and 3,837.78 is: 5,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.30 : 8,188.92 = 3,837.78 : x
  2. Step 2: Convert to fraction form
    5,937.30/8,188.92 = 3,837.78/x
  3. Step 3: Cross multiply
    5,937.30x = 8,188.92 × 3,837.78
  4. Step 4: Simplify right side
    5,937.30x = 31,427,273.40
  5. Step 5: Solve for x
    x = 31,427,273.40/5,937.30
  6. Step 6: Final answer
    x = 5,293.19

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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.