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Finding the Fourth Proportional to 3,924.40, 5,889.12 and 2,074.72

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Solution

The fourth proportional to 3,924.40, 5,889.12 and 2,074.72 is: 3,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.40 : 5,889.12 = 2,074.72 : x
  2. Step 2: Convert to fraction form
    3,924.40/5,889.12 = 2,074.72/x
  3. Step 3: Cross multiply
    3,924.40x = 5,889.12 × 2,074.72
  4. Step 4: Simplify right side
    3,924.40x = 12,218,275.05
  5. Step 5: Solve for x
    x = 12,218,275.05/3,924.40
  6. Step 6: Final answer
    x = 3,113.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.