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Finding the Fourth Proportional to 3,188.64, 4,400.08 and 1,791.20

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Solution

The fourth proportional to 3,188.64, 4,400.08 and 1,791.20 is: 2,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.64 : 4,400.08 = 1,791.20 : x
  2. Step 2: Convert to fraction form
    3,188.64/4,400.08 = 1,791.20/x
  3. Step 3: Cross multiply
    3,188.64x = 4,400.08 × 1,791.20
  4. Step 4: Simplify right side
    3,188.64x = 7,881,423.30
  5. Step 5: Solve for x
    x = 7,881,423.30/3,188.64
  6. Step 6: Final answer
    x = 2,471.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.