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Finding the Fourth Proportional to 5,338.94, 7,975.87 and 5,144.54

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Solution

The fourth proportional to 5,338.94, 7,975.87 and 5,144.54 is: 7,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.94 : 7,975.87 = 5,144.54 : x
  2. Step 2: Convert to fraction form
    5,338.94/7,975.87 = 5,144.54/x
  3. Step 3: Cross multiply
    5,338.94x = 7,975.87 × 5,144.54
  4. Step 4: Simplify right side
    5,338.94x = 41,032,182.25
  5. Step 5: Solve for x
    x = 41,032,182.25/5,338.94
  6. Step 6: Final answer
    x = 7,685.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.