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Finding the Fourth Proportional to 6,235.25, 8,604.77 and 3,402.74

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Solution

The fourth proportional to 6,235.25, 8,604.77 and 3,402.74 is: 4,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.25 : 8,604.77 = 3,402.74 : x
  2. Step 2: Convert to fraction form
    6,235.25/8,604.77 = 3,402.74/x
  3. Step 3: Cross multiply
    6,235.25x = 8,604.77 × 3,402.74
  4. Step 4: Simplify right side
    6,235.25x = 29,279,799.57
  5. Step 5: Solve for x
    x = 29,279,799.57/6,235.25
  6. Step 6: Final answer
    x = 4,695.85

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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.