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Finding the Fourth Proportional to 4,943.76, 7,375.68 and 4,764.48

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Solution

The fourth proportional to 4,943.76, 7,375.68 and 4,764.48 is: 7,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.76 : 7,375.68 = 4,764.48 : x
  2. Step 2: Convert to fraction form
    4,943.76/7,375.68 = 4,764.48/x
  3. Step 3: Cross multiply
    4,943.76x = 7,375.68 × 4,764.48
  4. Step 4: Simplify right side
    4,943.76x = 35,141,279.85
  5. Step 5: Solve for x
    x = 35,141,279.85/4,943.76
  6. Step 6: Final answer
    x = 7,108.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.