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Finding the Fourth Proportional to 5,463.40, 8,195.06 and 1,567.78

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Solution

The fourth proportional to 5,463.40, 8,195.06 and 1,567.78 is: 2,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.40 : 8,195.06 = 1,567.78 : x
  2. Step 2: Convert to fraction form
    5,463.40/8,195.06 = 1,567.78/x
  3. Step 3: Cross multiply
    5,463.40x = 8,195.06 × 1,567.78
  4. Step 4: Simplify right side
    5,463.40x = 12,848,051.17
  5. Step 5: Solve for x
    x = 12,848,051.17/5,463.40
  6. Step 6: Final answer
    x = 2,351.66

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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.