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Finding the Fourth Proportional to 5,902.11, 8,855.01 and 3,707.82

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Solution

The fourth proportional to 5,902.11, 8,855.01 and 3,707.82 is: 5,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.11 : 8,855.01 = 3,707.82 : x
  2. Step 2: Convert to fraction form
    5,902.11/8,855.01 = 3,707.82/x
  3. Step 3: Cross multiply
    5,902.11x = 8,855.01 × 3,707.82
  4. Step 4: Simplify right side
    5,902.11x = 32,832,783.18
  5. Step 5: Solve for x
    x = 32,832,783.18/5,902.11
  6. Step 6: Final answer
    x = 5,562.89

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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.