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Finding the Fourth Proportional to 4,227.40, 6,310.55 and 3,709

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Solution

The fourth proportional to 4,227.40, 6,310.55 and 3,709 is: 5,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.40 : 6,310.55 = 3,709 : x
  2. Step 2: Convert to fraction form
    4,227.40/6,310.55 = 3,709/x
  3. Step 3: Cross multiply
    4,227.40x = 6,310.55 × 3,709
  4. Step 4: Simplify right side
    4,227.40x = 23,405,829.95
  5. Step 5: Solve for x
    x = 23,405,829.95/4,227.40
  6. Step 6: Final answer
    x = 5,536.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.