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Finding the Fourth Proportional to 4,264.74, 5,884.89 and 2,401.38

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Solution

The fourth proportional to 4,264.74, 5,884.89 and 2,401.38 is: 3,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.74 : 5,884.89 = 2,401.38 : x
  2. Step 2: Convert to fraction form
    4,264.74/5,884.89 = 2,401.38/x
  3. Step 3: Cross multiply
    4,264.74x = 5,884.89 × 2,401.38
  4. Step 4: Simplify right side
    4,264.74x = 14,131,857.15
  5. Step 5: Solve for x
    x = 14,131,857.15/4,264.74
  6. Step 6: Final answer
    x = 3,313.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.