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Finding the Fourth Proportional to 5,244.33, 7,866.48 and 1,348.74

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Solution

The fourth proportional to 5,244.33, 7,866.48 and 1,348.74 is: 2,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.33 : 7,866.48 = 1,348.74 : x
  2. Step 2: Convert to fraction form
    5,244.33/7,866.48 = 1,348.74/x
  3. Step 3: Cross multiply
    5,244.33x = 7,866.48 × 1,348.74
  4. Step 4: Simplify right side
    5,244.33x = 10,609,836.24
  5. Step 5: Solve for x
    x = 10,609,836.24/5,244.33
  6. Step 6: Final answer
    x = 2,023.11

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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.