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Finding the Fourth Proportional to 5,648.66, 8,472.45 and 3,456.26

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Solution

The fourth proportional to 5,648.66, 8,472.45 and 3,456.26 is: 5,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.66 : 8,472.45 = 3,456.26 : x
  2. Step 2: Convert to fraction form
    5,648.66/8,472.45 = 3,456.26/x
  3. Step 3: Cross multiply
    5,648.66x = 8,472.45 × 3,456.26
  4. Step 4: Simplify right side
    5,648.66x = 29,282,990.04
  5. Step 5: Solve for x
    x = 29,282,990.04/5,648.66
  6. Step 6: Final answer
    x = 5,184.06

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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.