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Finding the Fourth Proportional to 4,077.70, 6,116.55 and 3,105.70

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Solution

The fourth proportional to 4,077.70, 6,116.55 and 3,105.70 is: 4,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.70 : 6,116.55 = 3,105.70 : x
  2. Step 2: Convert to fraction form
    4,077.70/6,116.55 = 3,105.70/x
  3. Step 3: Cross multiply
    4,077.70x = 6,116.55 × 3,105.70
  4. Step 4: Simplify right side
    4,077.70x = 18,996,169.34
  5. Step 5: Solve for x
    x = 18,996,169.34/4,077.70
  6. Step 6: Final answer
    x = 4,658.55

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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.