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Finding the Fourth Proportional to 5,853.55, 8,077.90 and 3,200.95

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Solution

The fourth proportional to 5,853.55, 8,077.90 and 3,200.95 is: 4,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.55 : 8,077.90 = 3,200.95 : x
  2. Step 2: Convert to fraction form
    5,853.55/8,077.90 = 3,200.95/x
  3. Step 3: Cross multiply
    5,853.55x = 8,077.90 × 3,200.95
  4. Step 4: Simplify right side
    5,853.55x = 25,856,938.00
  5. Step 5: Solve for x
    x = 25,856,938.00/5,853.55
  6. Step 6: Final answer
    x = 4,417.31

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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.