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Finding the Fourth Proportional to 3,327.84, 4,991.72 and 1,137.15

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Solution

The fourth proportional to 3,327.84, 4,991.72 and 1,137.15 is: 1,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.84 : 4,991.72 = 1,137.15 : x
  2. Step 2: Convert to fraction form
    3,327.84/4,991.72 = 1,137.15/x
  3. Step 3: Cross multiply
    3,327.84x = 4,991.72 × 1,137.15
  4. Step 4: Simplify right side
    3,327.84x = 5,676,328.71
  5. Step 5: Solve for x
    x = 5,676,328.71/3,327.84
  6. Step 6: Final answer
    x = 1,705.71

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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.