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Finding the Fourth Proportional to 4,077.70, 6,116.55 and 3,591.70

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Solution

The fourth proportional to 4,077.70, 6,116.55 and 3,591.70 is: 5,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.70 : 6,116.55 = 3,591.70 : x
  2. Step 2: Convert to fraction form
    4,077.70/6,116.55 = 3,591.70/x
  3. Step 3: Cross multiply
    4,077.70x = 6,116.55 × 3,591.70
  4. Step 4: Simplify right side
    4,077.70x = 21,968,812.64
  5. Step 5: Solve for x
    x = 21,968,812.64/4,077.70
  6. Step 6: Final answer
    x = 5,387.55

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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.