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Finding the Fourth Proportional to 4,119.26, 6,177.06 and 1,926.18

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Solution

The fourth proportional to 4,119.26, 6,177.06 and 1,926.18 is: 2,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.26 : 6,177.06 = 1,926.18 : x
  2. Step 2: Convert to fraction form
    4,119.26/6,177.06 = 1,926.18/x
  3. Step 3: Cross multiply
    4,119.26x = 6,177.06 × 1,926.18
  4. Step 4: Simplify right side
    4,119.26x = 11,898,129.43
  5. Step 5: Solve for x
    x = 11,898,129.43/4,119.26
  6. Step 6: Final answer
    x = 2,888.42

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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.