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Finding the Fourth Proportional to 5,569.59, 7,686.19 and 3,211.89

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Solution

The fourth proportional to 5,569.59, 7,686.19 and 3,211.89 is: 4,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.59 : 7,686.19 = 3,211.89 : x
  2. Step 2: Convert to fraction form
    5,569.59/7,686.19 = 3,211.89/x
  3. Step 3: Cross multiply
    5,569.59x = 7,686.19 × 3,211.89
  4. Step 4: Simplify right side
    5,569.59x = 24,687,171.99
  5. Step 5: Solve for x
    x = 24,687,171.99/5,569.59
  6. Step 6: Final answer
    x = 4,432.49

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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.