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Finding the Fourth Proportional to 5,277.52, 7,282.56 and 3,290.32

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Solution

The fourth proportional to 5,277.52, 7,282.56 and 3,290.32 is: 4,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.52 : 7,282.56 = 3,290.32 : x
  2. Step 2: Convert to fraction form
    5,277.52/7,282.56 = 3,290.32/x
  3. Step 3: Cross multiply
    5,277.52x = 7,282.56 × 3,290.32
  4. Step 4: Simplify right side
    5,277.52x = 23,961,952.82
  5. Step 5: Solve for x
    x = 23,961,952.82/5,277.52
  6. Step 6: Final answer
    x = 4,540.38

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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.