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Finding the Fourth Proportional to 3,116.52, 4,673.87 and 2,567.34

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Solution

The fourth proportional to 3,116.52, 4,673.87 and 2,567.34 is: 3,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.52 : 4,673.87 = 2,567.34 : x
  2. Step 2: Convert to fraction form
    3,116.52/4,673.87 = 2,567.34/x
  3. Step 3: Cross multiply
    3,116.52x = 4,673.87 × 2,567.34
  4. Step 4: Simplify right side
    3,116.52x = 11,999,400.57
  5. Step 5: Solve for x
    x = 11,999,400.57/3,116.52
  6. Step 6: Final answer
    x = 3,850.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.