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Finding the Fourth Proportional to 5,867.71, 8,097.20 and 3,511.15

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Solution

The fourth proportional to 5,867.71, 8,097.20 and 3,511.15 is: 4,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.71 : 8,097.20 = 3,511.15 : x
  2. Step 2: Convert to fraction form
    5,867.71/8,097.20 = 3,511.15/x
  3. Step 3: Cross multiply
    5,867.71x = 8,097.20 × 3,511.15
  4. Step 4: Simplify right side
    5,867.71x = 28,430,459.15
  5. Step 5: Solve for x
    x = 28,430,459.15/5,867.71
  6. Step 6: Final answer
    x = 4,845.24

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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.