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Finding the Fourth Proportional to 4,170.42, 5,755.16 and 2,402.38

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Solution

The fourth proportional to 4,170.42, 5,755.16 and 2,402.38 is: 3,315.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.42 : 5,755.16 = 2,402.38 : x
  2. Step 2: Convert to fraction form
    4,170.42/5,755.16 = 2,402.38/x
  3. Step 3: Cross multiply
    4,170.42x = 5,755.16 × 2,402.38
  4. Step 4: Simplify right side
    4,170.42x = 13,826,081.28
  5. Step 5: Solve for x
    x = 13,826,081.28/4,170.42
  6. Step 6: Final answer
    x = 3,315.27

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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.