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Finding the Fourth Proportional to 5,701.12, 7,842.88 and 4,650.88

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Solution

The fourth proportional to 5,701.12, 7,842.88 and 4,650.88 is: 6,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.12 : 7,842.88 = 4,650.88 : x
  2. Step 2: Convert to fraction form
    5,701.12/7,842.88 = 4,650.88/x
  3. Step 3: Cross multiply
    5,701.12x = 7,842.88 × 4,650.88
  4. Step 4: Simplify right side
    5,701.12x = 36,476,293.73
  5. Step 5: Solve for x
    x = 36,476,293.73/5,701.12
  6. Step 6: Final answer
    x = 6,398.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.