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Finding the Fourth Proportional to 5,605.52, 7,735.64 and 3,121.52

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Solution

The fourth proportional to 5,605.52, 7,735.64 and 3,121.52 is: 4,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.52 : 7,735.64 = 3,121.52 : x
  2. Step 2: Convert to fraction form
    5,605.52/7,735.64 = 3,121.52/x
  3. Step 3: Cross multiply
    5,605.52x = 7,735.64 × 3,121.52
  4. Step 4: Simplify right side
    5,605.52x = 24,146,954.97
  5. Step 5: Solve for x
    x = 24,146,954.97/5,605.52
  6. Step 6: Final answer
    x = 4,307.71

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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.