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Finding the Fourth Proportional to 5,428.25, 7,491 and 2,944.25

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Solution

The fourth proportional to 5,428.25, 7,491 and 2,944.25 is: 4,063.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.25 : 7,491 = 2,944.25 : x
  2. Step 2: Convert to fraction form
    5,428.25/7,491 = 2,944.25/x
  3. Step 3: Cross multiply
    5,428.25x = 7,491 × 2,944.25
  4. Step 4: Simplify right side
    5,428.25x = 22,055,376.75
  5. Step 5: Solve for x
    x = 22,055,376.75/5,428.25
  6. Step 6: Final answer
    x = 4,063.07

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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.