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Finding the Fourth Proportional to 4,070.56, 6,105.90 and 1,297.23

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Solution

The fourth proportional to 4,070.56, 6,105.90 and 1,297.23 is: 1,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.56 : 6,105.90 = 1,297.23 : x
  2. Step 2: Convert to fraction form
    4,070.56/6,105.90 = 1,297.23/x
  3. Step 3: Cross multiply
    4,070.56x = 6,105.90 × 1,297.23
  4. Step 4: Simplify right side
    4,070.56x = 7,920,756.66
  5. Step 5: Solve for x
    x = 7,920,756.66/4,070.56
  6. Step 6: Final answer
    x = 1,945.86

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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.