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Finding the Fourth Proportional to 5,926.35, 8,182.20 and 3,689.13

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Solution

The fourth proportional to 5,926.35, 8,182.20 and 3,689.13 is: 5,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.35 : 8,182.20 = 3,689.13 : x
  2. Step 2: Convert to fraction form
    5,926.35/8,182.20 = 3,689.13/x
  3. Step 3: Cross multiply
    5,926.35x = 8,182.20 × 3,689.13
  4. Step 4: Simplify right side
    5,926.35x = 30,185,199.49
  5. Step 5: Solve for x
    x = 30,185,199.49/5,926.35
  6. Step 6: Final answer
    x = 5,093.39

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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.