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Finding the Fourth Proportional to 4,882.88, 7,312 and 3,234.44

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Solution

The fourth proportional to 4,882.88, 7,312 and 3,234.44 is: 4,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.88 : 7,312 = 3,234.44 : x
  2. Step 2: Convert to fraction form
    4,882.88/7,312 = 3,234.44/x
  3. Step 3: Cross multiply
    4,882.88x = 7,312 × 3,234.44
  4. Step 4: Simplify right side
    4,882.88x = 23,650,225.28
  5. Step 5: Solve for x
    x = 23,650,225.28/4,882.88
  6. Step 6: Final answer
    x = 4,843.50

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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.