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Finding the Fourth Proportional to 5,463.87, 8,197.02 and 1,568.58

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Solution

The fourth proportional to 5,463.87, 8,197.02 and 1,568.58 is: 2,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.87 : 8,197.02 = 1,568.58 : x
  2. Step 2: Convert to fraction form
    5,463.87/8,197.02 = 1,568.58/x
  3. Step 3: Cross multiply
    5,463.87x = 8,197.02 × 1,568.58
  4. Step 4: Simplify right side
    5,463.87x = 12,857,681.63
  5. Step 5: Solve for x
    x = 12,857,681.63/5,463.87
  6. Step 6: Final answer
    x = 2,353.22

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Why These Related Problems?

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