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Finding the Fourth Proportional to 4,784.78, 7,175.85 and 3,027.14

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Solution

The fourth proportional to 4,784.78, 7,175.85 and 3,027.14 is: 4,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.78 : 7,175.85 = 3,027.14 : x
  2. Step 2: Convert to fraction form
    4,784.78/7,175.85 = 3,027.14/x
  3. Step 3: Cross multiply
    4,784.78x = 7,175.85 × 3,027.14
  4. Step 4: Simplify right side
    4,784.78x = 21,722,266.69
  5. Step 5: Solve for x
    x = 21,722,266.69/4,784.78
  6. Step 6: Final answer
    x = 4,539.87

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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.