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Finding the Fourth Proportional to 5,605.62, 7,735.84 and 3,121.62

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Solution

The fourth proportional to 5,605.62, 7,735.84 and 3,121.62 is: 4,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.62 : 7,735.84 = 3,121.62 : x
  2. Step 2: Convert to fraction form
    5,605.62/7,735.84 = 3,121.62/x
  3. Step 3: Cross multiply
    5,605.62x = 7,735.84 × 3,121.62
  4. Step 4: Simplify right side
    5,605.62x = 24,148,352.86
  5. Step 5: Solve for x
    x = 24,148,352.86/5,605.62
  6. Step 6: Final answer
    x = 4,307.88

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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.