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Finding the Fourth Proportional to 4,138.57, 5,711.34 and 2,460.88

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Solution

The fourth proportional to 4,138.57, 5,711.34 and 2,460.88 is: 3,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.57 : 5,711.34 = 2,460.88 : x
  2. Step 2: Convert to fraction form
    4,138.57/5,711.34 = 2,460.88/x
  3. Step 3: Cross multiply
    4,138.57x = 5,711.34 × 2,460.88
  4. Step 4: Simplify right side
    4,138.57x = 14,054,917.98
  5. Step 5: Solve for x
    x = 14,054,917.98/4,138.57
  6. Step 6: Final answer
    x = 3,396.08

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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.