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Finding the Fourth Proportional to 5,952.47, 8,216.00 and 3,713

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Solution

The fourth proportional to 5,952.47, 8,216.00 and 3,713 is: 5,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.47 : 8,216.00 = 3,713 : x
  2. Step 2: Convert to fraction form
    5,952.47/8,216.00 = 3,713/x
  3. Step 3: Cross multiply
    5,952.47x = 8,216.00 × 3,713
  4. Step 4: Simplify right side
    5,952.47x = 30,505,989.44
  5. Step 5: Solve for x
    x = 30,505,989.44/5,952.47
  6. Step 6: Final answer
    x = 5,124.93

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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.