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Finding the Fourth Proportional to 5,338.98, 7,371.25 and 4,778.48

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Solution

The fourth proportional to 5,338.98, 7,371.25 and 4,778.48 is: 6,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.98 : 7,371.25 = 4,778.48 : x
  2. Step 2: Convert to fraction form
    5,338.98/7,371.25 = 4,778.48/x
  3. Step 3: Cross multiply
    5,338.98x = 7,371.25 × 4,778.48
  4. Step 4: Simplify right side
    5,338.98x = 35,223,345.79
  5. Step 5: Solve for x
    x = 35,223,345.79/5,338.98
  6. Step 6: Final answer
    x = 6,597.40

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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.