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Finding the Fourth Proportional to 3,873.54, 5,346.86 and 2,301.63

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Solution

The fourth proportional to 3,873.54, 5,346.86 and 2,301.63 is: 3,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.54 : 5,346.86 = 2,301.63 : x
  2. Step 2: Convert to fraction form
    3,873.54/5,346.86 = 2,301.63/x
  3. Step 3: Cross multiply
    3,873.54x = 5,346.86 × 2,301.63
  4. Step 4: Simplify right side
    3,873.54x = 12,306,493.38
  5. Step 5: Solve for x
    x = 12,306,493.38/3,873.54
  6. Step 6: Final answer
    x = 3,177.07

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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.