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Finding the Fourth Proportional to 5,639.78, 7,782.30 and 3,121.82

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Solution

The fourth proportional to 5,639.78, 7,782.30 and 3,121.82 is: 4,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.78 : 7,782.30 = 3,121.82 : x
  2. Step 2: Convert to fraction form
    5,639.78/7,782.30 = 3,121.82/x
  3. Step 3: Cross multiply
    5,639.78x = 7,782.30 × 3,121.82
  4. Step 4: Simplify right side
    5,639.78x = 24,294,939.79
  5. Step 5: Solve for x
    x = 24,294,939.79/5,639.78
  6. Step 6: Final answer
    x = 4,307.78

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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.