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Finding the Fourth Proportional to 3,672.02, 5,508.84 and 1,206.74

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Solution

The fourth proportional to 3,672.02, 5,508.84 and 1,206.74 is: 1,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.02 : 5,508.84 = 1,206.74 : x
  2. Step 2: Convert to fraction form
    3,672.02/5,508.84 = 1,206.74/x
  3. Step 3: Cross multiply
    3,672.02x = 5,508.84 × 1,206.74
  4. Step 4: Simplify right side
    3,672.02x = 6,647,737.58
  5. Step 5: Solve for x
    x = 6,647,737.58/3,672.02
  6. Step 6: Final answer
    x = 1,810.38

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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.