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Finding the Fourth Proportional to 3,863.70, 5,790.69 and 1,915.38

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Solution

The fourth proportional to 3,863.70, 5,790.69 and 1,915.38 is: 2,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.70 : 5,790.69 = 1,915.38 : x
  2. Step 2: Convert to fraction form
    3,863.70/5,790.69 = 1,915.38/x
  3. Step 3: Cross multiply
    3,863.70x = 5,790.69 × 1,915.38
  4. Step 4: Simplify right side
    3,863.70x = 11,091,371.81
  5. Step 5: Solve for x
    x = 11,091,371.81/3,863.70
  6. Step 6: Final answer
    x = 2,870.66

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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.