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Finding the Fourth Proportional to 3,915.24, 5,868.74 and 1,448.48

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Solution

The fourth proportional to 3,915.24, 5,868.74 and 1,448.48 is: 2,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.24 : 5,868.74 = 1,448.48 : x
  2. Step 2: Convert to fraction form
    3,915.24/5,868.74 = 1,448.48/x
  3. Step 3: Cross multiply
    3,915.24x = 5,868.74 × 1,448.48
  4. Step 4: Simplify right side
    3,915.24x = 8,500,752.52
  5. Step 5: Solve for x
    x = 8,500,752.52/3,915.24
  6. Step 6: Final answer
    x = 2,171.20

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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.