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Finding the Fourth Proportional to 3,872.40, 5,808.60 and 2,317.20

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Solution

The fourth proportional to 3,872.40, 5,808.60 and 2,317.20 is: 3,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.40 : 5,808.60 = 2,317.20 : x
  2. Step 2: Convert to fraction form
    3,872.40/5,808.60 = 2,317.20/x
  3. Step 3: Cross multiply
    3,872.40x = 5,808.60 × 2,317.20
  4. Step 4: Simplify right side
    3,872.40x = 13,459,687.92
  5. Step 5: Solve for x
    x = 13,459,687.92/3,872.40
  6. Step 6: Final answer
    x = 3,475.80

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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.