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Finding the Fourth Proportional to 4,456.78, 6,691.65 and 3,165.10

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Solution

The fourth proportional to 4,456.78, 6,691.65 and 3,165.10 is: 4,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.78 : 6,691.65 = 3,165.10 : x
  2. Step 2: Convert to fraction form
    4,456.78/6,691.65 = 3,165.10/x
  3. Step 3: Cross multiply
    4,456.78x = 6,691.65 × 3,165.10
  4. Step 4: Simplify right side
    4,456.78x = 21,179,741.42
  5. Step 5: Solve for x
    x = 21,179,741.42/4,456.78
  6. Step 6: Final answer
    x = 4,752.25

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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.