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Finding the Fourth Proportional to 3,537.30, 4,881.42 and 1,965.30

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Solution

The fourth proportional to 3,537.30, 4,881.42 and 1,965.30 is: 2,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.30 : 4,881.42 = 1,965.30 : x
  2. Step 2: Convert to fraction form
    3,537.30/4,881.42 = 1,965.30/x
  3. Step 3: Cross multiply
    3,537.30x = 4,881.42 × 1,965.30
  4. Step 4: Simplify right side
    3,537.30x = 9,593,454.73
  5. Step 5: Solve for x
    x = 9,593,454.73/3,537.30
  6. Step 6: Final answer
    x = 2,712.08

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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.