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Finding the Fourth Proportional to 3,701.50, 5,099.56 and 3,042.56

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Solution

The fourth proportional to 3,701.50, 5,099.56 and 3,042.56 is: 4,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.50 : 5,099.56 = 3,042.56 : x
  2. Step 2: Convert to fraction form
    3,701.50/5,099.56 = 3,042.56/x
  3. Step 3: Cross multiply
    3,701.50x = 5,099.56 × 3,042.56
  4. Step 4: Simplify right side
    3,701.50x = 15,515,722.42
  5. Step 5: Solve for x
    x = 15,515,722.42/3,701.50
  6. Step 6: Final answer
    x = 4,191.74

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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.