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Finding the Fourth Proportional to 3,792.16, 5,232.42 and 2,299.21

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Solution

The fourth proportional to 3,792.16, 5,232.42 and 2,299.21 is: 3,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.16 : 5,232.42 = 2,299.21 : x
  2. Step 2: Convert to fraction form
    3,792.16/5,232.42 = 2,299.21/x
  3. Step 3: Cross multiply
    3,792.16x = 5,232.42 × 2,299.21
  4. Step 4: Simplify right side
    3,792.16x = 12,030,432.39
  5. Step 5: Solve for x
    x = 12,030,432.39/3,792.16
  6. Step 6: Final answer
    x = 3,172.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.