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Finding the Fourth Proportional to 5,839.83, 8,751.44 and 4,283.42

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Solution

The fourth proportional to 5,839.83, 8,751.44 and 4,283.42 is: 6,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.83 : 8,751.44 = 4,283.42 : x
  2. Step 2: Convert to fraction form
    5,839.83/8,751.44 = 4,283.42/x
  3. Step 3: Cross multiply
    5,839.83x = 8,751.44 × 4,283.42
  4. Step 4: Simplify right side
    5,839.83x = 37,486,060.08
  5. Step 5: Solve for x
    x = 37,486,060.08/5,839.83
  6. Step 6: Final answer
    x = 6,419.03

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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.