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Finding the Fourth Proportional to 3,116.87, 4,301.81 and 2,976.74

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Solution

The fourth proportional to 3,116.87, 4,301.81 and 2,976.74 is: 4,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.87 : 4,301.81 = 2,976.74 : x
  2. Step 2: Convert to fraction form
    3,116.87/4,301.81 = 2,976.74/x
  3. Step 3: Cross multiply
    3,116.87x = 4,301.81 × 2,976.74
  4. Step 4: Simplify right side
    3,116.87x = 12,805,344.67
  5. Step 5: Solve for x
    x = 12,805,344.67/3,116.87
  6. Step 6: Final answer
    x = 4,108.41

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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.