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Finding the Fourth Proportional to 5,157.41, 7,737.17 and 2,195.84

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Solution

The fourth proportional to 5,157.41, 7,737.17 and 2,195.84 is: 3,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.41 : 7,737.17 = 2,195.84 : x
  2. Step 2: Convert to fraction form
    5,157.41/7,737.17 = 2,195.84/x
  3. Step 3: Cross multiply
    5,157.41x = 7,737.17 × 2,195.84
  4. Step 4: Simplify right side
    5,157.41x = 16,989,595.74
  5. Step 5: Solve for x
    x = 16,989,595.74/5,157.41
  6. Step 6: Final answer
    x = 3,294.21

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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.