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Finding the Fourth Proportional to 5,209.28, 7,804.74 and 2,738.24

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Solution

The fourth proportional to 5,209.28, 7,804.74 and 2,738.24 is: 4,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.28 : 7,804.74 = 2,738.24 : x
  2. Step 2: Convert to fraction form
    5,209.28/7,804.74 = 2,738.24/x
  3. Step 3: Cross multiply
    5,209.28x = 7,804.74 × 2,738.24
  4. Step 4: Simplify right side
    5,209.28x = 21,371,251.26
  5. Step 5: Solve for x
    x = 21,371,251.26/5,209.28
  6. Step 6: Final answer
    x = 4,102.53

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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.