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Finding the Fourth Proportional to 5,966.76, 8,231.28 and 4,199.34

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Solution

The fourth proportional to 5,966.76, 8,231.28 and 4,199.34 is: 5,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.76 : 8,231.28 = 4,199.34 : x
  2. Step 2: Convert to fraction form
    5,966.76/8,231.28 = 4,199.34/x
  3. Step 3: Cross multiply
    5,966.76x = 8,231.28 × 4,199.34
  4. Step 4: Simplify right side
    5,966.76x = 34,565,943.36
  5. Step 5: Solve for x
    x = 34,565,943.36/5,966.76
  6. Step 6: Final answer
    x = 5,793.08

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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.