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Finding the Fourth Proportional to 3,915.88, 5,874.05 and 1,283.67

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Solution

The fourth proportional to 3,915.88, 5,874.05 and 1,283.67 is: 1,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.88 : 5,874.05 = 1,283.67 : x
  2. Step 2: Convert to fraction form
    3,915.88/5,874.05 = 1,283.67/x
  3. Step 3: Cross multiply
    3,915.88x = 5,874.05 × 1,283.67
  4. Step 4: Simplify right side
    3,915.88x = 7,540,344.97
  5. Step 5: Solve for x
    x = 7,540,344.97/3,915.88
  6. Step 6: Final answer
    x = 1,925.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.