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Finding the Fourth Proportional to 5,853.16, 8,077.46 and 3,200.68

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Solution

The fourth proportional to 5,853.16, 8,077.46 and 3,200.68 is: 4,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.16 : 8,077.46 = 3,200.68 : x
  2. Step 2: Convert to fraction form
    5,853.16/8,077.46 = 3,200.68/x
  3. Step 3: Cross multiply
    5,853.16x = 8,077.46 × 3,200.68
  4. Step 4: Simplify right side
    5,853.16x = 25,853,364.67
  5. Step 5: Solve for x
    x = 25,853,364.67/5,853.16
  6. Step 6: Final answer
    x = 4,416.99

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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.