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Finding the Fourth Proportional to 5,835.51, 8,751.78 and 2,712.42

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Solution

The fourth proportional to 5,835.51, 8,751.78 and 2,712.42 is: 4,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.51 : 8,751.78 = 2,712.42 : x
  2. Step 2: Convert to fraction form
    5,835.51/8,751.78 = 2,712.42/x
  3. Step 3: Cross multiply
    5,835.51x = 8,751.78 × 2,712.42
  4. Step 4: Simplify right side
    5,835.51x = 23,738,503.11
  5. Step 5: Solve for x
    x = 23,738,503.11/5,835.51
  6. Step 6: Final answer
    x = 4,067.94

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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.