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Finding the Fourth Proportional to 3,875.49, 5,347.97 and 2,196.92

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Solution

The fourth proportional to 3,875.49, 5,347.97 and 2,196.92 is: 3,031.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.49 : 5,347.97 = 2,196.92 : x
  2. Step 2: Convert to fraction form
    3,875.49/5,347.97 = 2,196.92/x
  3. Step 3: Cross multiply
    3,875.49x = 5,347.97 × 2,196.92
  4. Step 4: Simplify right side
    3,875.49x = 11,749,062.25
  5. Step 5: Solve for x
    x = 11,749,062.25/3,875.49
  6. Step 6: Final answer
    x = 3,031.63

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