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Finding the Fourth Proportional to 5,684.68, 8,522.01 and 2,395.98

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Solution

The fourth proportional to 5,684.68, 8,522.01 and 2,395.98 is: 3,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.68 : 8,522.01 = 2,395.98 : x
  2. Step 2: Convert to fraction form
    5,684.68/8,522.01 = 2,395.98/x
  3. Step 3: Cross multiply
    5,684.68x = 8,522.01 × 2,395.98
  4. Step 4: Simplify right side
    5,684.68x = 20,418,565.52
  5. Step 5: Solve for x
    x = 20,418,565.52/5,684.68
  6. Step 6: Final answer
    x = 3,591.86

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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.