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Finding the Fourth Proportional to 5,497.40, 8,233.34 and 5,456.42

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Solution

The fourth proportional to 5,497.40, 8,233.34 and 5,456.42 is: 8,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.40 : 8,233.34 = 5,456.42 : x
  2. Step 2: Convert to fraction form
    5,497.40/8,233.34 = 5,456.42/x
  3. Step 3: Cross multiply
    5,497.40x = 8,233.34 × 5,456.42
  4. Step 4: Simplify right side
    5,497.40x = 44,924,554.34
  5. Step 5: Solve for x
    x = 44,924,554.34/5,497.40
  6. Step 6: Final answer
    x = 8,171.97

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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.