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Finding the Fourth Proportional to 5,463.33, 8,194.06 and 1,566.82

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Solution

The fourth proportional to 5,463.33, 8,194.06 and 1,566.82 is: 2,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.33 : 8,194.06 = 1,566.82 : x
  2. Step 2: Convert to fraction form
    5,463.33/8,194.06 = 1,566.82/x
  3. Step 3: Cross multiply
    5,463.33x = 8,194.06 × 1,566.82
  4. Step 4: Simplify right side
    5,463.33x = 12,838,617.09
  5. Step 5: Solve for x
    x = 12,838,617.09/5,463.33
  6. Step 6: Final answer
    x = 2,349.96

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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.