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Finding the Fourth Proportional to 3,921.66, 5,412.02 and 2,153.39

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Solution

The fourth proportional to 3,921.66, 5,412.02 and 2,153.39 is: 2,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.66 : 5,412.02 = 2,153.39 : x
  2. Step 2: Convert to fraction form
    3,921.66/5,412.02 = 2,153.39/x
  3. Step 3: Cross multiply
    3,921.66x = 5,412.02 × 2,153.39
  4. Step 4: Simplify right side
    3,921.66x = 11,654,151.92
  5. Step 5: Solve for x
    x = 11,654,151.92/3,921.66
  6. Step 6: Final answer
    x = 2,971.74

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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.