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Finding the Fourth Proportional to 5,463.67, 8,195.67 and 1,715.83

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Solution

The fourth proportional to 5,463.67, 8,195.67 and 1,715.83 is: 2,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.67 : 8,195.67 = 1,715.83 : x
  2. Step 2: Convert to fraction form
    5,463.67/8,195.67 = 1,715.83/x
  3. Step 3: Cross multiply
    5,463.67x = 8,195.67 × 1,715.83
  4. Step 4: Simplify right side
    5,463.67x = 14,062,376.46
  5. Step 5: Solve for x
    x = 14,062,376.46/5,463.67
  6. Step 6: Final answer
    x = 2,573.80

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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.