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Finding the Fourth Proportional to 3,537.02, 4,881.08 and 1,965.42

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Solution

The fourth proportional to 3,537.02, 4,881.08 and 1,965.42 is: 2,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.02 : 4,881.08 = 1,965.42 : x
  2. Step 2: Convert to fraction form
    3,537.02/4,881.08 = 1,965.42/x
  3. Step 3: Cross multiply
    3,537.02x = 4,881.08 × 1,965.42
  4. Step 4: Simplify right side
    3,537.02x = 9,593,372.25
  5. Step 5: Solve for x
    x = 9,593,372.25/3,537.02
  6. Step 6: Final answer
    x = 2,712.28

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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.