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Finding the Fourth Proportional to 5,924.97, 8,170.34 and 5,088.44

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Solution

The fourth proportional to 5,924.97, 8,170.34 and 5,088.44 is: 7,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.97 : 8,170.34 = 5,088.44 : x
  2. Step 2: Convert to fraction form
    5,924.97/8,170.34 = 5,088.44/x
  3. Step 3: Cross multiply
    5,924.97x = 8,170.34 × 5,088.44
  4. Step 4: Simplify right side
    5,924.97x = 41,574,279.85
  5. Step 5: Solve for x
    x = 41,574,279.85/5,924.97
  6. Step 6: Final answer
    x = 7,016.79

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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.