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Finding the Fourth Proportional to 4,610.62, 6,915.92 and 1,976.41

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Solution

The fourth proportional to 4,610.62, 6,915.92 and 1,976.41 is: 2,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.62 : 6,915.92 = 1,976.41 : x
  2. Step 2: Convert to fraction form
    4,610.62/6,915.92 = 1,976.41/x
  3. Step 3: Cross multiply
    4,610.62x = 6,915.92 × 1,976.41
  4. Step 4: Simplify right side
    4,610.62x = 13,668,681.10
  5. Step 5: Solve for x
    x = 13,668,681.10/4,610.62
  6. Step 6: Final answer
    x = 2,964.61

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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.