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Finding the Fourth Proportional to 4,210.48, 5,809.06 and 2,719.41

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Solution

The fourth proportional to 4,210.48, 5,809.06 and 2,719.41 is: 3,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.48 : 5,809.06 = 2,719.41 : x
  2. Step 2: Convert to fraction form
    4,210.48/5,809.06 = 2,719.41/x
  3. Step 3: Cross multiply
    4,210.48x = 5,809.06 × 2,719.41
  4. Step 4: Simplify right side
    4,210.48x = 15,797,215.85
  5. Step 5: Solve for x
    x = 15,797,215.85/4,210.48
  6. Step 6: Final answer
    x = 3,751.88

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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.