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Finding the Fourth Proportional to 4,136.19, 5,705.05 and 2,719.42

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Solution

The fourth proportional to 4,136.19, 5,705.05 and 2,719.42 is: 3,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.19 : 5,705.05 = 2,719.42 : x
  2. Step 2: Convert to fraction form
    4,136.19/5,705.05 = 2,719.42/x
  3. Step 3: Cross multiply
    4,136.19x = 5,705.05 × 2,719.42
  4. Step 4: Simplify right side
    4,136.19x = 15,514,448.66
  5. Step 5: Solve for x
    x = 15,514,448.66/4,136.19
  6. Step 6: Final answer
    x = 3,750.91

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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.