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Finding the Fourth Proportional to 5,885.96, 8,122.31 and 3,232.86

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Solution

The fourth proportional to 5,885.96, 8,122.31 and 3,232.86 is: 4,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.96 : 8,122.31 = 3,232.86 : x
  2. Step 2: Convert to fraction form
    5,885.96/8,122.31 = 3,232.86/x
  3. Step 3: Cross multiply
    5,885.96x = 8,122.31 × 3,232.86
  4. Step 4: Simplify right side
    5,885.96x = 26,258,274.79
  5. Step 5: Solve for x
    x = 26,258,274.79/5,885.96
  6. Step 6: Final answer
    x = 4,461.17

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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.