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Finding the Fourth Proportional to 4,523.62, 6,782.83 and 1,402.82

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Solution

The fourth proportional to 4,523.62, 6,782.83 and 1,402.82 is: 2,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.62 : 6,782.83 = 1,402.82 : x
  2. Step 2: Convert to fraction form
    4,523.62/6,782.83 = 1,402.82/x
  3. Step 3: Cross multiply
    4,523.62x = 6,782.83 × 1,402.82
  4. Step 4: Simplify right side
    4,523.62x = 9,515,089.58
  5. Step 5: Solve for x
    x = 9,515,089.58/4,523.62
  6. Step 6: Final answer
    x = 2,103.42

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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.