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Finding the Fourth Proportional to 4,565.97, 6,848.96 and 1,103.22

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Solution

The fourth proportional to 4,565.97, 6,848.96 and 1,103.22 is: 1,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.97 : 6,848.96 = 1,103.22 : x
  2. Step 2: Convert to fraction form
    4,565.97/6,848.96 = 1,103.22/x
  3. Step 3: Cross multiply
    4,565.97x = 6,848.96 × 1,103.22
  4. Step 4: Simplify right side
    4,565.97x = 7,555,909.65
  5. Step 5: Solve for x
    x = 7,555,909.65/4,565.97
  6. Step 6: Final answer
    x = 1,654.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.