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Finding the Fourth Proportional to 3,327.48, 4,991.21 and 862.10

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Solution

The fourth proportional to 3,327.48, 4,991.21 and 862.10 is: 1,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.48 : 4,991.21 = 862.10 : x
  2. Step 2: Convert to fraction form
    3,327.48/4,991.21 = 862.10/x
  3. Step 3: Cross multiply
    3,327.48x = 4,991.21 × 862.10
  4. Step 4: Simplify right side
    3,327.48x = 4,302,892.87
  5. Step 5: Solve for x
    x = 4,302,892.87/3,327.48
  6. Step 6: Final answer
    x = 1,293.14

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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.