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Finding the Fourth Proportional to 3,791.90, 5,232.80 and 2,113.46

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Solution

The fourth proportional to 3,791.90, 5,232.80 and 2,113.46 is: 2,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.90 : 5,232.80 = 2,113.46 : x
  2. Step 2: Convert to fraction form
    3,791.90/5,232.80 = 2,113.46/x
  3. Step 3: Cross multiply
    3,791.90x = 5,232.80 × 2,113.46
  4. Step 4: Simplify right side
    3,791.90x = 11,059,313.49
  5. Step 5: Solve for x
    x = 11,059,313.49/3,791.90
  6. Step 6: Final answer
    x = 2,916.56

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1.5x scale

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.