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Finding the Fourth Proportional to 3,792.12, 5,233 and 2,113.52

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Solution

The fourth proportional to 3,792.12, 5,233 and 2,113.52 is: 2,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.12 : 5,233 = 2,113.52 : x
  2. Step 2: Convert to fraction form
    3,792.12/5,233 = 2,113.52/x
  3. Step 3: Cross multiply
    3,792.12x = 5,233 × 2,113.52
  4. Step 4: Simplify right side
    3,792.12x = 11,060,050.16
  5. Step 5: Solve for x
    x = 11,060,050.16/3,792.12
  6. Step 6: Final answer
    x = 2,916.59

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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.