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Finding the Fourth Proportional to 3,887.68, 5,360.16 and 3,138.88

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Solution

The fourth proportional to 3,887.68, 5,360.16 and 3,138.88 is: 4,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.68 : 5,360.16 = 3,138.88 : x
  2. Step 2: Convert to fraction form
    3,887.68/5,360.16 = 3,138.88/x
  3. Step 3: Cross multiply
    3,887.68x = 5,360.16 × 3,138.88
  4. Step 4: Simplify right side
    3,887.68x = 16,824,899.02
  5. Step 5: Solve for x
    x = 16,824,899.02/3,887.68
  6. Step 6: Final answer
    x = 4,327.75

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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.