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Finding the Fourth Proportional to 3,873.64, 5,346.66 and 2,381.80

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Solution

The fourth proportional to 3,873.64, 5,346.66 and 2,381.80 is: 3,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.64 : 5,346.66 = 2,381.80 : x
  2. Step 2: Convert to fraction form
    3,873.64/5,346.66 = 2,381.80/x
  3. Step 3: Cross multiply
    3,873.64x = 5,346.66 × 2,381.80
  4. Step 4: Simplify right side
    3,873.64x = 12,734,674.79
  5. Step 5: Solve for x
    x = 12,734,674.79/3,873.64
  6. Step 6: Final answer
    x = 3,287.52

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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.