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Finding the Fourth Proportional to 4,147.83, 6,221.05 and 1,225.44

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Solution

The fourth proportional to 4,147.83, 6,221.05 and 1,225.44 is: 1,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.83 : 6,221.05 = 1,225.44 : x
  2. Step 2: Convert to fraction form
    4,147.83/6,221.05 = 1,225.44/x
  3. Step 3: Cross multiply
    4,147.83x = 6,221.05 × 1,225.44
  4. Step 4: Simplify right side
    4,147.83x = 7,623,523.51
  5. Step 5: Solve for x
    x = 7,623,523.51/4,147.83
  6. Step 6: Final answer
    x = 1,837.95

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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.