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Finding the Fourth Proportional to 3,569.97, 5,352.39 and 1,348.46

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Solution

The fourth proportional to 3,569.97, 5,352.39 and 1,348.46 is: 2,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.97 : 5,352.39 = 1,348.46 : x
  2. Step 2: Convert to fraction form
    3,569.97/5,352.39 = 1,348.46/x
  3. Step 3: Cross multiply
    3,569.97x = 5,352.39 × 1,348.46
  4. Step 4: Simplify right side
    3,569.97x = 7,217,457.06
  5. Step 5: Solve for x
    x = 7,217,457.06/3,569.97
  6. Step 6: Final answer
    x = 2,021.71

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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.