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Finding the Fourth Proportional to 3,472.79, 5,210.22 and 1,624.97

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Solution

The fourth proportional to 3,472.79, 5,210.22 and 1,624.97 is: 2,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.79 : 5,210.22 = 1,624.97 : x
  2. Step 2: Convert to fraction form
    3,472.79/5,210.22 = 1,624.97/x
  3. Step 3: Cross multiply
    3,472.79x = 5,210.22 × 1,624.97
  4. Step 4: Simplify right side
    3,472.79x = 8,466,425.14
  5. Step 5: Solve for x
    x = 8,466,425.14/3,472.79
  6. Step 6: Final answer
    x = 2,437.94

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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.