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Finding the Fourth Proportional to 4,938.54, 6,815.13 and 2,700.48

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Solution

The fourth proportional to 4,938.54, 6,815.13 and 2,700.48 is: 3,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.54 : 6,815.13 = 2,700.48 : x
  2. Step 2: Convert to fraction form
    4,938.54/6,815.13 = 2,700.48/x
  3. Step 3: Cross multiply
    4,938.54x = 6,815.13 × 2,700.48
  4. Step 4: Simplify right side
    4,938.54x = 18,404,122.26
  5. Step 5: Solve for x
    x = 18,404,122.26/4,938.54
  6. Step 6: Final answer
    x = 3,726.63

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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.