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Finding the Fourth Proportional to 3,472.98, 5,206.87 and 1,281.30

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Solution

The fourth proportional to 3,472.98, 5,206.87 and 1,281.30 is: 1,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.98 : 5,206.87 = 1,281.30 : x
  2. Step 2: Convert to fraction form
    3,472.98/5,206.87 = 1,281.30/x
  3. Step 3: Cross multiply
    3,472.98x = 5,206.87 × 1,281.30
  4. Step 4: Simplify right side
    3,472.98x = 6,671,562.53
  5. Step 5: Solve for x
    x = 6,671,562.53/3,472.98
  6. Step 6: Final answer
    x = 1,920.99

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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.