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Finding the Fourth Proportional to 3,210.86, 4,443.14 and 2,738.03

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Solution

The fourth proportional to 3,210.86, 4,443.14 and 2,738.03 is: 3,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.86 : 4,443.14 = 2,738.03 : x
  2. Step 2: Convert to fraction form
    3,210.86/4,443.14 = 2,738.03/x
  3. Step 3: Cross multiply
    3,210.86x = 4,443.14 × 2,738.03
  4. Step 4: Simplify right side
    3,210.86x = 12,165,414.71
  5. Step 5: Solve for x
    x = 12,165,414.71/3,210.86
  6. Step 6: Final answer
    x = 3,788.84

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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.