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Finding the Fourth Proportional to 3,726.48, 5,144.16 and 2,401.92

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Solution

The fourth proportional to 3,726.48, 5,144.16 and 2,401.92 is: 3,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.48 : 5,144.16 = 2,401.92 : x
  2. Step 2: Convert to fraction form
    3,726.48/5,144.16 = 2,401.92/x
  3. Step 3: Cross multiply
    3,726.48x = 5,144.16 × 2,401.92
  4. Step 4: Simplify right side
    3,726.48x = 12,355,860.79
  5. Step 5: Solve for x
    x = 12,355,860.79/3,726.48
  6. Step 6: Final answer
    x = 3,315.69

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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.