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Finding the Fourth Proportional to 5,644.32, 7,789.18 and 3,092.08

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Solution

The fourth proportional to 5,644.32, 7,789.18 and 3,092.08 is: 4,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.32 : 7,789.18 = 3,092.08 : x
  2. Step 2: Convert to fraction form
    5,644.32/7,789.18 = 3,092.08/x
  3. Step 3: Cross multiply
    5,644.32x = 7,789.18 × 3,092.08
  4. Step 4: Simplify right side
    5,644.32x = 24,084,767.69
  5. Step 5: Solve for x
    x = 24,084,767.69/5,644.32
  6. Step 6: Final answer
    x = 4,267.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.