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Finding the Fourth Proportional to 5,842.31, 8,721.38 and 5,427.12

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Solution

The fourth proportional to 5,842.31, 8,721.38 and 5,427.12 is: 8,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.31 : 8,721.38 = 5,427.12 : x
  2. Step 2: Convert to fraction form
    5,842.31/8,721.38 = 5,427.12/x
  3. Step 3: Cross multiply
    5,842.31x = 8,721.38 × 5,427.12
  4. Step 4: Simplify right side
    5,842.31x = 47,331,948.69
  5. Step 5: Solve for x
    x = 47,331,948.69/5,842.31
  6. Step 6: Final answer
    x = 8,101.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.