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Finding the Fourth Proportional to 4,165.08, 5,748.22 and 2,396.76

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Solution

The fourth proportional to 4,165.08, 5,748.22 and 2,396.76 is: 3,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.08 : 5,748.22 = 2,396.76 : x
  2. Step 2: Convert to fraction form
    4,165.08/5,748.22 = 2,396.76/x
  3. Step 3: Cross multiply
    4,165.08x = 5,748.22 × 2,396.76
  4. Step 4: Simplify right side
    4,165.08x = 13,777,103.77
  5. Step 5: Solve for x
    x = 13,777,103.77/4,165.08
  6. Step 6: Final answer
    x = 3,307.76

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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.