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Finding the Fourth Proportional to 5,685.86, 8,532.47 and 3,019.88

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Solution

The fourth proportional to 5,685.86, 8,532.47 and 3,019.88 is: 4,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.86 : 8,532.47 = 3,019.88 : x
  2. Step 2: Convert to fraction form
    5,685.86/8,532.47 = 3,019.88/x
  3. Step 3: Cross multiply
    5,685.86x = 8,532.47 × 3,019.88
  4. Step 4: Simplify right side
    5,685.86x = 25,767,064.38
  5. Step 5: Solve for x
    x = 25,767,064.38/5,685.86
  6. Step 6: Final answer
    x = 4,531.78

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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.