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Finding the Fourth Proportional to 3,915.71, 5,870.76 and 1,834.57

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Solution

The fourth proportional to 3,915.71, 5,870.76 and 1,834.57 is: 2,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.71 : 5,870.76 = 1,834.57 : x
  2. Step 2: Convert to fraction form
    3,915.71/5,870.76 = 1,834.57/x
  3. Step 3: Cross multiply
    3,915.71x = 5,870.76 × 1,834.57
  4. Step 4: Simplify right side
    3,915.71x = 10,770,305.50
  5. Step 5: Solve for x
    x = 10,770,305.50/3,915.71
  6. Step 6: Final answer
    x = 2,750.54

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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.