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Finding the Fourth Proportional to 3,671.72, 5,508.70 and 1,206.92

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Solution

The fourth proportional to 3,671.72, 5,508.70 and 1,206.92 is: 1,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.72 : 5,508.70 = 1,206.92 : x
  2. Step 2: Convert to fraction form
    3,671.72/5,508.70 = 1,206.92/x
  3. Step 3: Cross multiply
    3,671.72x = 5,508.70 × 1,206.92
  4. Step 4: Simplify right side
    3,671.72x = 6,648,560.20
  5. Step 5: Solve for x
    x = 6,648,560.20/3,671.72
  6. Step 6: Final answer
    x = 1,810.75

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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.