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Finding the Fourth Proportional to 3,872.17, 5,808.96 and 1,410.45

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Solution

The fourth proportional to 3,872.17, 5,808.96 and 1,410.45 is: 2,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.17 : 5,808.96 = 1,410.45 : x
  2. Step 2: Convert to fraction form
    3,872.17/5,808.96 = 1,410.45/x
  3. Step 3: Cross multiply
    3,872.17x = 5,808.96 × 1,410.45
  4. Step 4: Simplify right side
    3,872.17x = 8,193,211.53
  5. Step 5: Solve for x
    x = 8,193,211.53/3,872.17
  6. Step 6: Final answer
    x = 2,115.92

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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.