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Finding the Fourth Proportional to 5,681.33, 8,524.11 and 2,560.40

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Solution

The fourth proportional to 5,681.33, 8,524.11 and 2,560.40 is: 3,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.33 : 8,524.11 = 2,560.40 : x
  2. Step 2: Convert to fraction form
    5,681.33/8,524.11 = 2,560.40/x
  3. Step 3: Cross multiply
    5,681.33x = 8,524.11 × 2,560.40
  4. Step 4: Simplify right side
    5,681.33x = 21,825,088.62
  5. Step 5: Solve for x
    x = 21,825,088.62/5,681.33
  6. Step 6: Final answer
    x = 3,841.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.