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Finding the Fourth Proportional to 3,792.67, 5,685.50 and 2,401.80

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Solution

The fourth proportional to 3,792.67, 5,685.50 and 2,401.80 is: 3,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.67 : 5,685.50 = 2,401.80 : x
  2. Step 2: Convert to fraction form
    3,792.67/5,685.50 = 2,401.80/x
  3. Step 3: Cross multiply
    3,792.67x = 5,685.50 × 2,401.80
  4. Step 4: Simplify right side
    3,792.67x = 13,655,405.47
  5. Step 5: Solve for x
    x = 13,655,405.47/3,792.67
  6. Step 6: Final answer
    x = 3,600.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.