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Finding the Fourth Proportional to 4,071.22, 6,106.95 and 1,149.22

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Solution

The fourth proportional to 4,071.22, 6,106.95 and 1,149.22 is: 1,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.22 : 6,106.95 = 1,149.22 : x
  2. Step 2: Convert to fraction form
    4,071.22/6,106.95 = 1,149.22/x
  3. Step 3: Cross multiply
    4,071.22x = 6,106.95 × 1,149.22
  4. Step 4: Simplify right side
    4,071.22x = 7,018,229.08
  5. Step 5: Solve for x
    x = 7,018,229.08/4,071.22
  6. Step 6: Final answer
    x = 1,723.86

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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.