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Finding the Fourth Proportional to 5,947.51, 8,918.08 and 5,691.91

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Solution

The fourth proportional to 5,947.51, 8,918.08 and 5,691.91 is: 8,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.51 : 8,918.08 = 5,691.91 : x
  2. Step 2: Convert to fraction form
    5,947.51/8,918.08 = 5,691.91/x
  3. Step 3: Cross multiply
    5,947.51x = 8,918.08 × 5,691.91
  4. Step 4: Simplify right side
    5,947.51x = 50,760,908.73
  5. Step 5: Solve for x
    x = 50,760,908.73/5,947.51
  6. Step 6: Final answer
    x = 8,534.82

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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.