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Finding the Fourth Proportional to 5,902.32, 8,858.94 and 2,982.66

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Solution

The fourth proportional to 5,902.32, 8,858.94 and 2,982.66 is: 4,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.32 : 8,858.94 = 2,982.66 : x
  2. Step 2: Convert to fraction form
    5,902.32/8,858.94 = 2,982.66/x
  3. Step 3: Cross multiply
    5,902.32x = 8,858.94 × 2,982.66
  4. Step 4: Simplify right side
    5,902.32x = 26,423,205.98
  5. Step 5: Solve for x
    x = 26,423,205.98/5,902.32
  6. Step 6: Final answer
    x = 4,476.75

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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.