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Finding the Fourth Proportional to 4,144.41, 5,719.28 and 2,281.41

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Solution

The fourth proportional to 4,144.41, 5,719.28 and 2,281.41 is: 3,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.41 : 5,719.28 = 2,281.41 : x
  2. Step 2: Convert to fraction form
    4,144.41/5,719.28 = 2,281.41/x
  3. Step 3: Cross multiply
    4,144.41x = 5,719.28 × 2,281.41
  4. Step 4: Simplify right side
    4,144.41x = 13,048,028.29
  5. Step 5: Solve for x
    x = 13,048,028.29/4,144.41
  6. Step 6: Final answer
    x = 3,148.34

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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.