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Finding the Fourth Proportional to 5,899.11, 8,137.71 and 4,781.31

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Solution

The fourth proportional to 5,899.11, 8,137.71 and 4,781.31 is: 6,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.11 : 8,137.71 = 4,781.31 : x
  2. Step 2: Convert to fraction form
    5,899.11/8,137.71 = 4,781.31/x
  3. Step 3: Cross multiply
    5,899.11x = 8,137.71 × 4,781.31
  4. Step 4: Simplify right side
    5,899.11x = 38,908,914.20
  5. Step 5: Solve for x
    x = 38,908,914.20/5,899.11
  6. Step 6: Final answer
    x = 6,595.73

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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.