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Finding the Fourth Proportional to 3,537.39, 4,881.75 and 1,965.49

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Solution

The fourth proportional to 3,537.39, 4,881.75 and 1,965.49 is: 2,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.39 : 4,881.75 = 1,965.49 : x
  2. Step 2: Convert to fraction form
    3,537.39/4,881.75 = 1,965.49/x
  3. Step 3: Cross multiply
    3,537.39x = 4,881.75 × 1,965.49
  4. Step 4: Simplify right side
    3,537.39x = 9,595,030.81
  5. Step 5: Solve for x
    x = 9,595,030.81/3,537.39
  6. Step 6: Final answer
    x = 2,712.46

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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.