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Finding the Fourth Proportional to 3,885.65, 5,828.37 and 963.92

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Solution

The fourth proportional to 3,885.65, 5,828.37 and 963.92 is: 1,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.65 : 5,828.37 = 963.92 : x
  2. Step 2: Convert to fraction form
    3,885.65/5,828.37 = 963.92/x
  3. Step 3: Cross multiply
    3,885.65x = 5,828.37 × 963.92
  4. Step 4: Simplify right side
    3,885.65x = 5,618,082.41
  5. Step 5: Solve for x
    x = 5,618,082.41/3,885.65
  6. Step 6: Final answer
    x = 1,445.85

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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.