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Finding the Fourth Proportional to 5,232.74, 7,214.06 and 3,738.05

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Solution

The fourth proportional to 5,232.74, 7,214.06 and 3,738.05 is: 5,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.74 : 7,214.06 = 3,738.05 : x
  2. Step 2: Convert to fraction form
    5,232.74/7,214.06 = 3,738.05/x
  3. Step 3: Cross multiply
    5,232.74x = 7,214.06 × 3,738.05
  4. Step 4: Simplify right side
    5,232.74x = 26,966,517.31
  5. Step 5: Solve for x
    x = 26,966,517.31/5,232.74
  6. Step 6: Final answer
    x = 5,153.43

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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.