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Finding the Fourth Proportional to 5,338.86, 8,009.73 and 4,824.78

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Solution

The fourth proportional to 5,338.86, 8,009.73 and 4,824.78 is: 7,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.86 : 8,009.73 = 4,824.78 : x
  2. Step 2: Convert to fraction form
    5,338.86/8,009.73 = 4,824.78/x
  3. Step 3: Cross multiply
    5,338.86x = 8,009.73 × 4,824.78
  4. Step 4: Simplify right side
    5,338.86x = 38,645,185.11
  5. Step 5: Solve for x
    x = 38,645,185.11/5,338.86
  6. Step 6: Final answer
    x = 7,238.47

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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.