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Finding the Fourth Proportional to 3,842.12, 5,290.96 and 3,337.74

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Solution

The fourth proportional to 3,842.12, 5,290.96 and 3,337.74 is: 4,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.12 : 5,290.96 = 3,337.74 : x
  2. Step 2: Convert to fraction form
    3,842.12/5,290.96 = 3,337.74/x
  3. Step 3: Cross multiply
    3,842.12x = 5,290.96 × 3,337.74
  4. Step 4: Simplify right side
    3,842.12x = 17,659,848.83
  5. Step 5: Solve for x
    x = 17,659,848.83/3,842.12
  6. Step 6: Final answer
    x = 4,596.38

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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.