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Finding the Fourth Proportional to 4,948.65, 7,422.97 and 2,026.96

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Solution

The fourth proportional to 4,948.65, 7,422.97 and 2,026.96 is: 3,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.65 : 7,422.97 = 2,026.96 : x
  2. Step 2: Convert to fraction form
    4,948.65/7,422.97 = 2,026.96/x
  3. Step 3: Cross multiply
    4,948.65x = 7,422.97 × 2,026.96
  4. Step 4: Simplify right side
    4,948.65x = 15,046,063.27
  5. Step 5: Solve for x
    x = 15,046,063.27/4,948.65
  6. Step 6: Final answer
    x = 3,040.44

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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.