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Finding the Fourth Proportional to 5,569.78, 7,686.42 and 3,179.70

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Solution

The fourth proportional to 5,569.78, 7,686.42 and 3,179.70 is: 4,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.78 : 7,686.42 = 3,179.70 : x
  2. Step 2: Convert to fraction form
    5,569.78/7,686.42 = 3,179.70/x
  3. Step 3: Cross multiply
    5,569.78x = 7,686.42 × 3,179.70
  4. Step 4: Simplify right side
    5,569.78x = 24,440,509.67
  5. Step 5: Solve for x
    x = 24,440,509.67/5,569.78
  6. Step 6: Final answer
    x = 4,388.06

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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.