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Finding the Fourth Proportional to 3,472.12, 5,208.84 and 1,281.04

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Solution

The fourth proportional to 3,472.12, 5,208.84 and 1,281.04 is: 1,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.12 : 5,208.84 = 1,281.04 : x
  2. Step 2: Convert to fraction form
    3,472.12/5,208.84 = 1,281.04/x
  3. Step 3: Cross multiply
    3,472.12x = 5,208.84 × 1,281.04
  4. Step 4: Simplify right side
    3,472.12x = 6,672,732.39
  5. Step 5: Solve for x
    x = 6,672,732.39/3,472.12
  6. Step 6: Final answer
    x = 1,921.80

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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.