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Finding the Fourth Proportional to 4,165.44, 5,748.32 and 2,396.96

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Solution

The fourth proportional to 4,165.44, 5,748.32 and 2,396.96 is: 3,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.44 : 5,748.32 = 2,396.96 : x
  2. Step 2: Convert to fraction form
    4,165.44/5,748.32 = 2,396.96/x
  3. Step 3: Cross multiply
    4,165.44x = 5,748.32 × 2,396.96
  4. Step 4: Simplify right side
    4,165.44x = 13,778,493.11
  5. Step 5: Solve for x
    x = 13,778,493.11/4,165.44
  6. Step 6: Final answer
    x = 3,307.81

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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.