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Finding the Fourth Proportional to 5,635.85, 7,772.71 and 3,397.24

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Solution

The fourth proportional to 5,635.85, 7,772.71 and 3,397.24 is: 4,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.85 : 7,772.71 = 3,397.24 : x
  2. Step 2: Convert to fraction form
    5,635.85/7,772.71 = 3,397.24/x
  3. Step 3: Cross multiply
    5,635.85x = 7,772.71 × 3,397.24
  4. Step 4: Simplify right side
    5,635.85x = 26,405,768.91
  5. Step 5: Solve for x
    x = 26,405,768.91/5,635.85
  6. Step 6: Final answer
    x = 4,685.32

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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.