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Finding the Fourth Proportional to 5,902.64, 8,855.76 and 2,007.44

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Solution

The fourth proportional to 5,902.64, 8,855.76 and 2,007.44 is: 3,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.64 : 8,855.76 = 2,007.44 : x
  2. Step 2: Convert to fraction form
    5,902.64/8,855.76 = 2,007.44/x
  3. Step 3: Cross multiply
    5,902.64x = 8,855.76 × 2,007.44
  4. Step 4: Simplify right side
    5,902.64x = 17,777,406.85
  5. Step 5: Solve for x
    x = 17,777,406.85/5,902.64
  6. Step 6: Final answer
    x = 3,011.77

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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.