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Finding the Fourth Proportional to 3,788.40, 5,224.32 and 2,296.56

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Solution

The fourth proportional to 3,788.40, 5,224.32 and 2,296.56 is: 3,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.40 : 5,224.32 = 2,296.56 : x
  2. Step 2: Convert to fraction form
    3,788.40/5,224.32 = 2,296.56/x
  3. Step 3: Cross multiply
    3,788.40x = 5,224.32 × 2,296.56
  4. Step 4: Simplify right side
    3,788.40x = 11,997,964.34
  5. Step 5: Solve for x
    x = 11,997,964.34/3,788.40
  6. Step 6: Final answer
    x = 3,167.03

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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.