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Finding the Fourth Proportional to 5,244.08, 7,866.05 and 1,348.47

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Solution

The fourth proportional to 5,244.08, 7,866.05 and 1,348.47 is: 2,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.08 : 7,866.05 = 1,348.47 : x
  2. Step 2: Convert to fraction form
    5,244.08/7,866.05 = 1,348.47/x
  3. Step 3: Cross multiply
    5,244.08x = 7,866.05 × 1,348.47
  4. Step 4: Simplify right side
    5,244.08x = 10,607,125.70
  5. Step 5: Solve for x
    x = 10,607,125.70/5,244.08
  6. Step 6: Final answer
    x = 2,022.69

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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.