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Finding the Fourth Proportional to 5,569.40, 7,686.18 and 3,211.88

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Solution

The fourth proportional to 5,569.40, 7,686.18 and 3,211.88 is: 4,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.40 : 7,686.18 = 3,211.88 : x
  2. Step 2: Convert to fraction form
    5,569.40/7,686.18 = 3,211.88/x
  3. Step 3: Cross multiply
    5,569.40x = 7,686.18 × 3,211.88
  4. Step 4: Simplify right side
    5,569.40x = 24,687,087.82
  5. Step 5: Solve for x
    x = 24,687,087.82/5,569.40
  6. Step 6: Final answer
    x = 4,432.63

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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.