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Finding the Fourth Proportional to 4,144.57, 5,717.79 and 2,465.64

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Solution

The fourth proportional to 4,144.57, 5,717.79 and 2,465.64 is: 3,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.57 : 5,717.79 = 2,465.64 : x
  2. Step 2: Convert to fraction form
    4,144.57/5,717.79 = 2,465.64/x
  3. Step 3: Cross multiply
    4,144.57x = 5,717.79 × 2,465.64
  4. Step 4: Simplify right side
    4,144.57x = 14,098,011.74
  5. Step 5: Solve for x
    x = 14,098,011.74/4,144.57
  6. Step 6: Final answer
    x = 3,401.56

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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.