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Finding the Fourth Proportional to 5,569.87, 7,686.56 and 3,052.09

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Solution

The fourth proportional to 5,569.87, 7,686.56 and 3,052.09 is: 4,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.87 : 7,686.56 = 3,052.09 : x
  2. Step 2: Convert to fraction form
    5,569.87/7,686.56 = 3,052.09/x
  3. Step 3: Cross multiply
    5,569.87x = 7,686.56 × 3,052.09
  4. Step 4: Simplify right side
    5,569.87x = 23,460,072.91
  5. Step 5: Solve for x
    x = 23,460,072.91/5,569.87
  6. Step 6: Final answer
    x = 4,211.96

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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.