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Finding the Fourth Proportional to 4,998.48, 6,897.80 and 2,760.42

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Solution

The fourth proportional to 4,998.48, 6,897.80 and 2,760.42 is: 3,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.48 : 6,897.80 = 2,760.42 : x
  2. Step 2: Convert to fraction form
    4,998.48/6,897.80 = 2,760.42/x
  3. Step 3: Cross multiply
    4,998.48x = 6,897.80 × 2,760.42
  4. Step 4: Simplify right side
    4,998.48x = 19,040,811.27
  5. Step 5: Solve for x
    x = 19,040,811.27/4,998.48
  6. Step 6: Final answer
    x = 3,809.32

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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.