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Finding the Fourth Proportional to 5,853.36, 8,077.50 and 3,200.70

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Solution

The fourth proportional to 5,853.36, 8,077.50 and 3,200.70 is: 4,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.36 : 8,077.50 = 3,200.70 : x
  2. Step 2: Convert to fraction form
    5,853.36/8,077.50 = 3,200.70/x
  3. Step 3: Cross multiply
    5,853.36x = 8,077.50 × 3,200.70
  4. Step 4: Simplify right side
    5,853.36x = 25,853,654.25
  5. Step 5: Solve for x
    x = 25,853,654.25/5,853.36
  6. Step 6: Final answer
    x = 4,416.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.