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Finding the Fourth Proportional to 3,648.89, 5,472.87 and 1,016.59

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Solution

The fourth proportional to 3,648.89, 5,472.87 and 1,016.59 is: 1,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.89 : 5,472.87 = 1,016.59 : x
  2. Step 2: Convert to fraction form
    3,648.89/5,472.87 = 1,016.59/x
  3. Step 3: Cross multiply
    3,648.89x = 5,472.87 × 1,016.59
  4. Step 4: Simplify right side
    3,648.89x = 5,563,664.91
  5. Step 5: Solve for x
    x = 5,563,664.91/3,648.89
  6. Step 6: Final answer
    x = 1,524.76

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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.