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Finding the Fourth Proportional to 5,034.40, 6,947.34 and 2,796.22

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Solution

The fourth proportional to 5,034.40, 6,947.34 and 2,796.22 is: 3,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.40 : 6,947.34 = 2,796.22 : x
  2. Step 2: Convert to fraction form
    5,034.40/6,947.34 = 2,796.22/x
  3. Step 3: Cross multiply
    5,034.40x = 6,947.34 × 2,796.22
  4. Step 4: Simplify right side
    5,034.40x = 19,426,289.25
  5. Step 5: Solve for x
    x = 19,426,289.25/5,034.40
  6. Step 6: Final answer
    x = 3,858.71

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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.