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Finding the Fourth Proportional to 5,732.78, 8,582.15 and 3,127.82

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Solution

The fourth proportional to 5,732.78, 8,582.15 and 3,127.82 is: 4,682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.78 : 8,582.15 = 3,127.82 : x
  2. Step 2: Convert to fraction form
    5,732.78/8,582.15 = 3,127.82/x
  3. Step 3: Cross multiply
    5,732.78x = 8,582.15 × 3,127.82
  4. Step 4: Simplify right side
    5,732.78x = 26,843,404.77
  5. Step 5: Solve for x
    x = 26,843,404.77/5,732.78
  6. Step 6: Final answer
    x = 4,682.44

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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.