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Finding the Fourth Proportional to 4,077.59, 6,116.19 and 1,116.02

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Solution

The fourth proportional to 4,077.59, 6,116.19 and 1,116.02 is: 1,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.59 : 6,116.19 = 1,116.02 : x
  2. Step 2: Convert to fraction form
    4,077.59/6,116.19 = 1,116.02/x
  3. Step 3: Cross multiply
    4,077.59x = 6,116.19 × 1,116.02
  4. Step 4: Simplify right side
    4,077.59x = 6,825,759.78
  5. Step 5: Solve for x
    x = 6,825,759.78/4,077.59
  6. Step 6: Final answer
    x = 1,673.97

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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.