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Finding the Fourth Proportional to 3,866.16, 5,335.61 and 2,187.60

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Solution

The fourth proportional to 3,866.16, 5,335.61 and 2,187.60 is: 3,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.16 : 5,335.61 = 2,187.60 : x
  2. Step 2: Convert to fraction form
    3,866.16/5,335.61 = 2,187.60/x
  3. Step 3: Cross multiply
    3,866.16x = 5,335.61 × 2,187.60
  4. Step 4: Simplify right side
    3,866.16x = 11,672,149.49
  5. Step 5: Solve for x
    x = 11,672,149.49/3,866.16
  6. Step 6: Final answer
    x = 3,019.05

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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.