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Finding the Fourth Proportional to 3,873.86, 5,346.01 and 2,301.96

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Solution

The fourth proportional to 3,873.86, 5,346.01 and 2,301.96 is: 3,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.86 : 5,346.01 = 2,301.96 : x
  2. Step 2: Convert to fraction form
    3,873.86/5,346.01 = 2,301.96/x
  3. Step 3: Cross multiply
    3,873.86x = 5,346.01 × 2,301.96
  4. Step 4: Simplify right side
    3,873.86x = 12,306,301.18
  5. Step 5: Solve for x
    x = 12,306,301.18/3,873.86
  6. Step 6: Final answer
    x = 3,176.75

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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.