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Finding the Fourth Proportional to 5,243.66, 7,865.57 and 1,348.07

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Solution

The fourth proportional to 5,243.66, 7,865.57 and 1,348.07 is: 2,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.66 : 7,865.57 = 1,348.07 : x
  2. Step 2: Convert to fraction form
    5,243.66/7,865.57 = 1,348.07/x
  3. Step 3: Cross multiply
    5,243.66x = 7,865.57 × 1,348.07
  4. Step 4: Simplify right side
    5,243.66x = 10,603,338.95
  5. Step 5: Solve for x
    x = 10,603,338.95/5,243.66
  6. Step 6: Final answer
    x = 2,022.13

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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.