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Finding the Fourth Proportional to 4,170.39, 5,755.68 and 2,401.89

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Solution

The fourth proportional to 4,170.39, 5,755.68 and 2,401.89 is: 3,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.39 : 5,755.68 = 2,401.89 : x
  2. Step 2: Convert to fraction form
    4,170.39/5,755.68 = 2,401.89/x
  3. Step 3: Cross multiply
    4,170.39x = 5,755.68 × 2,401.89
  4. Step 4: Simplify right side
    4,170.39x = 13,824,510.24
  5. Step 5: Solve for x
    x = 13,824,510.24/4,170.39
  6. Step 6: Final answer
    x = 3,314.92

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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.