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Finding the Fourth Proportional to 3,510.76, 4,844.78 and 1,938.82

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Solution

The fourth proportional to 3,510.76, 4,844.78 and 1,938.82 is: 2,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.76 : 4,844.78 = 1,938.82 : x
  2. Step 2: Convert to fraction form
    3,510.76/4,844.78 = 1,938.82/x
  3. Step 3: Cross multiply
    3,510.76x = 4,844.78 × 1,938.82
  4. Step 4: Simplify right side
    3,510.76x = 9,393,122.44
  5. Step 5: Solve for x
    x = 9,393,122.44/3,510.76
  6. Step 6: Final answer
    x = 2,675.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.