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Finding the Fourth Proportional to 3,497.10, 5,245.66 and 1,648.22

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Solution

The fourth proportional to 3,497.10, 5,245.66 and 1,648.22 is: 2,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.10 : 5,245.66 = 1,648.22 : x
  2. Step 2: Convert to fraction form
    3,497.10/5,245.66 = 1,648.22/x
  3. Step 3: Cross multiply
    3,497.10x = 5,245.66 × 1,648.22
  4. Step 4: Simplify right side
    3,497.10x = 8,646,001.73
  5. Step 5: Solve for x
    x = 8,646,001.73/3,497.10
  6. Step 6: Final answer
    x = 2,472.33

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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.