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Finding the Fourth Proportional to 3,884.16, 5,360 and 2,115.72

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Solution

The fourth proportional to 3,884.16, 5,360 and 2,115.72 is: 2,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.16 : 5,360 = 2,115.72 : x
  2. Step 2: Convert to fraction form
    3,884.16/5,360 = 2,115.72/x
  3. Step 3: Cross multiply
    3,884.16x = 5,360 × 2,115.72
  4. Step 4: Simplify right side
    3,884.16x = 11,340,259.20
  5. Step 5: Solve for x
    x = 11,340,259.20/3,884.16
  6. Step 6: Final answer
    x = 2,919.62

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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.