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Finding the Fourth Proportional to 3,800.06, 5,246.00 and 2,385.80

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Solution

The fourth proportional to 3,800.06, 5,246.00 and 2,385.80 is: 3,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.06 : 5,246.00 = 2,385.80 : x
  2. Step 2: Convert to fraction form
    3,800.06/5,246.00 = 2,385.80/x
  3. Step 3: Cross multiply
    3,800.06x = 5,246.00 × 2,385.80
  4. Step 4: Simplify right side
    3,800.06x = 12,515,926.77
  5. Step 5: Solve for x
    x = 12,515,926.77/3,800.06
  6. Step 6: Final answer
    x = 3,293.61

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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.