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Finding the Fourth Proportional to 5,805.83, 8,708.72 and 3,952.34

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Solution

The fourth proportional to 5,805.83, 8,708.72 and 3,952.34 is: 5,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.83 : 8,708.72 = 3,952.34 : x
  2. Step 2: Convert to fraction form
    5,805.83/8,708.72 = 3,952.34/x
  3. Step 3: Cross multiply
    5,805.83x = 8,708.72 × 3,952.34
  4. Step 4: Simplify right side
    5,805.83x = 34,419,840.74
  5. Step 5: Solve for x
    x = 34,419,840.74/5,805.83
  6. Step 6: Final answer
    x = 5,928.50

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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.