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Finding the Fourth Proportional to 3,792, 5,232.54 and 2,113.02

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Solution

The fourth proportional to 3,792, 5,232.54 and 2,113.02 is: 2,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792 : 5,232.54 = 2,113.02 : x
  2. Step 2: Convert to fraction form
    3,792/5,232.54 = 2,113.02/x
  3. Step 3: Cross multiply
    3,792x = 5,232.54 × 2,113.02
  4. Step 4: Simplify right side
    3,792x = 11,056,461.67
  5. Step 5: Solve for x
    x = 11,056,461.67/3,792
  6. Step 6: Final answer
    x = 2,915.73

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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.