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Finding the Fourth Proportional to 4,170.67, 5,754.32 and 2,401.63

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Solution

The fourth proportional to 4,170.67, 5,754.32 and 2,401.63 is: 3,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.67 : 5,754.32 = 2,401.63 : x
  2. Step 2: Convert to fraction form
    4,170.67/5,754.32 = 2,401.63/x
  3. Step 3: Cross multiply
    4,170.67x = 5,754.32 × 2,401.63
  4. Step 4: Simplify right side
    4,170.67x = 13,819,735.53
  5. Step 5: Solve for x
    x = 13,819,735.53/4,170.67
  6. Step 6: Final answer
    x = 3,313.55

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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.