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Finding the Fourth Proportional to 4,169.98, 5,754.59 and 2,401.48

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Solution

The fourth proportional to 4,169.98, 5,754.59 and 2,401.48 is: 3,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.98 : 5,754.59 = 2,401.48 : x
  2. Step 2: Convert to fraction form
    4,169.98/5,754.59 = 2,401.48/x
  3. Step 3: Cross multiply
    4,169.98x = 5,754.59 × 2,401.48
  4. Step 4: Simplify right side
    4,169.98x = 13,819,532.79
  5. Step 5: Solve for x
    x = 13,819,532.79/4,169.98
  6. Step 6: Final answer
    x = 3,314.05

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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.