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Finding the Fourth Proportional to 4,575.82, 6,864.57 and 1,456.61

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Solution

The fourth proportional to 4,575.82, 6,864.57 and 1,456.61 is: 2,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.82 : 6,864.57 = 1,456.61 : x
  2. Step 2: Convert to fraction form
    4,575.82/6,864.57 = 1,456.61/x
  3. Step 3: Cross multiply
    4,575.82x = 6,864.57 × 1,456.61
  4. Step 4: Simplify right side
    4,575.82x = 9,999,001.31
  5. Step 5: Solve for x
    x = 9,999,001.31/4,575.82
  6. Step 6: Final answer
    x = 2,185.18

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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.