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Finding the Fourth Proportional to 4,261.67, 6,384.00 and 3,385.66

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Solution

The fourth proportional to 4,261.67, 6,384.00 and 3,385.66 is: 5,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.67 : 6,384.00 = 3,385.66 : x
  2. Step 2: Convert to fraction form
    4,261.67/6,384.00 = 3,385.66/x
  3. Step 3: Cross multiply
    4,261.67x = 6,384.00 × 3,385.66
  4. Step 4: Simplify right side
    4,261.67x = 21,614,050.18
  5. Step 5: Solve for x
    x = 21,614,050.18/4,261.67
  6. Step 6: Final answer
    x = 5,071.73

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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.