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Finding the Fourth Proportional to 4,209.66, 6,304.77 and 4,063.86

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Solution

The fourth proportional to 4,209.66, 6,304.77 and 4,063.86 is: 6,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.66 : 6,304.77 = 4,063.86 : x
  2. Step 2: Convert to fraction form
    4,209.66/6,304.77 = 4,063.86/x
  3. Step 3: Cross multiply
    4,209.66x = 6,304.77 × 4,063.86
  4. Step 4: Simplify right side
    4,209.66x = 25,621,702.61
  5. Step 5: Solve for x
    x = 25,621,702.61/4,209.66
  6. Step 6: Final answer
    x = 6,086.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.