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Finding the Fourth Proportional to 5,842.48, 8,062.65 and 3,189.95

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Solution

The fourth proportional to 5,842.48, 8,062.65 and 3,189.95 is: 4,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.48 : 8,062.65 = 3,189.95 : x
  2. Step 2: Convert to fraction form
    5,842.48/8,062.65 = 3,189.95/x
  3. Step 3: Cross multiply
    5,842.48x = 8,062.65 × 3,189.95
  4. Step 4: Simplify right side
    5,842.48x = 25,719,394.10
  5. Step 5: Solve for x
    x = 25,719,394.10/5,842.48
  6. Step 6: Final answer
    x = 4,402.14

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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.