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Finding the Fourth Proportional to 3,707.74, 5,116.53 and 2,135.62

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Solution

The fourth proportional to 3,707.74, 5,116.53 and 2,135.62 is: 2,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.74 : 5,116.53 = 2,135.62 : x
  2. Step 2: Convert to fraction form
    3,707.74/5,116.53 = 2,135.62/x
  3. Step 3: Cross multiply
    3,707.74x = 5,116.53 × 2,135.62
  4. Step 4: Simplify right side
    3,707.74x = 10,926,963.80
  5. Step 5: Solve for x
    x = 10,926,963.80/3,707.74
  6. Step 6: Final answer
    x = 2,947.07

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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.