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Finding the Fourth Proportional to 6,701.85, 10,057.67 and 3,417.71

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Solution

The fourth proportional to 6,701.85, 10,057.67 and 3,417.71 is: 5,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.85 : 10,057.67 = 3,417.71 : x
  2. Step 2: Convert to fraction form
    6,701.85/10,057.67 = 3,417.71/x
  3. Step 3: Cross multiply
    6,701.85x = 10,057.67 × 3,417.71
  4. Step 4: Simplify right side
    6,701.85x = 34,374,144.78
  5. Step 5: Solve for x
    x = 34,374,144.78/6,701.85
  6. Step 6: Final answer
    x = 5,129.05

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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.