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Finding the Fourth Proportional to 6,349.44, 8,764.02 and 5,748.24

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Solution

The fourth proportional to 6,349.44, 8,764.02 and 5,748.24 is: 7,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.44 : 8,764.02 = 5,748.24 : x
  2. Step 2: Convert to fraction form
    6,349.44/8,764.02 = 5,748.24/x
  3. Step 3: Cross multiply
    6,349.44x = 8,764.02 × 5,748.24
  4. Step 4: Simplify right side
    6,349.44x = 50,377,690.32
  5. Step 5: Solve for x
    x = 50,377,690.32/6,349.44
  6. Step 6: Final answer
    x = 7,934.19

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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.