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Finding the Fourth Proportional to 4,170.02, 5,754.42 and 2,401.24

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Solution

The fourth proportional to 4,170.02, 5,754.42 and 2,401.24 is: 3,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.02 : 5,754.42 = 2,401.24 : x
  2. Step 2: Convert to fraction form
    4,170.02/5,754.42 = 2,401.24/x
  3. Step 3: Cross multiply
    4,170.02x = 5,754.42 × 2,401.24
  4. Step 4: Simplify right side
    4,170.02x = 13,817,743.48
  5. Step 5: Solve for x
    x = 13,817,743.48/4,170.02
  6. Step 6: Final answer
    x = 3,313.59

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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.