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Finding the Fourth Proportional to 5,240.91, 7,837.06 and 4,057.50

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Solution

The fourth proportional to 5,240.91, 7,837.06 and 4,057.50 is: 6,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.91 : 7,837.06 = 4,057.50 : x
  2. Step 2: Convert to fraction form
    5,240.91/7,837.06 = 4,057.50/x
  3. Step 3: Cross multiply
    5,240.91x = 7,837.06 × 4,057.50
  4. Step 4: Simplify right side
    5,240.91x = 31,798,870.95
  5. Step 5: Solve for x
    x = 31,798,870.95/5,240.91
  6. Step 6: Final answer
    x = 6,067.43

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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.