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Finding the Fourth Proportional to 3,537.47, 4,881.77 and 1,965.57

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Solution

The fourth proportional to 3,537.47, 4,881.77 and 1,965.57 is: 2,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.47 : 4,881.77 = 1,965.57 : x
  2. Step 2: Convert to fraction form
    3,537.47/4,881.77 = 1,965.57/x
  3. Step 3: Cross multiply
    3,537.47x = 4,881.77 × 1,965.57
  4. Step 4: Simplify right side
    3,537.47x = 9,595,439.90
  5. Step 5: Solve for x
    x = 9,595,439.90/3,537.47
  6. Step 6: Final answer
    x = 2,712.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.