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Finding the Fourth Proportional to 5,835.68, 8,046.85 and 3,943.98

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Solution

The fourth proportional to 5,835.68, 8,046.85 and 3,943.98 is: 5,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.68 : 8,046.85 = 3,943.98 : x
  2. Step 2: Convert to fraction form
    5,835.68/8,046.85 = 3,943.98/x
  3. Step 3: Cross multiply
    5,835.68x = 8,046.85 × 3,943.98
  4. Step 4: Simplify right side
    5,835.68x = 31,736,646.72
  5. Step 5: Solve for x
    x = 31,736,646.72/5,835.68
  6. Step 6: Final answer
    x = 5,438.38

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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.