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Finding the Fourth Proportional to 3,754.26, 5,631.72 and 980.91

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Solution

The fourth proportional to 3,754.26, 5,631.72 and 980.91 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.26 : 5,631.72 = 980.91 : x
  2. Step 2: Convert to fraction form
    3,754.26/5,631.72 = 980.91/x
  3. Step 3: Cross multiply
    3,754.26x = 5,631.72 × 980.91
  4. Step 4: Simplify right side
    3,754.26x = 5,524,210.47
  5. Step 5: Solve for x
    x = 5,524,210.47/3,754.26
  6. Step 6: Final answer
    x = 1,471.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.