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Finding the Fourth Proportional to 5,754.46, 7,943.82 and 4,077.22

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Solution

The fourth proportional to 5,754.46, 7,943.82 and 4,077.22 is: 5,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.46 : 7,943.82 = 4,077.22 : x
  2. Step 2: Convert to fraction form
    5,754.46/7,943.82 = 4,077.22/x
  3. Step 3: Cross multiply
    5,754.46x = 7,943.82 × 4,077.22
  4. Step 4: Simplify right side
    5,754.46x = 32,388,701.78
  5. Step 5: Solve for x
    x = 32,388,701.78/5,754.46
  6. Step 6: Final answer
    x = 5,628.45

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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.