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Finding the Fourth Proportional to 5,463.59, 8,196.59 and 1,567.70

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Solution

The fourth proportional to 5,463.59, 8,196.59 and 1,567.70 is: 2,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.59 : 8,196.59 = 1,567.70 : x
  2. Step 2: Convert to fraction form
    5,463.59/8,196.59 = 1,567.70/x
  3. Step 3: Cross multiply
    5,463.59x = 8,196.59 × 1,567.70
  4. Step 4: Simplify right side
    5,463.59x = 12,849,757.08
  5. Step 5: Solve for x
    x = 12,849,757.08/5,463.59
  6. Step 6: Final answer
    x = 2,351.89

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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.