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Finding the Fourth Proportional to 6,449.16, 8,898.24 and 4,090.44

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Solution

The fourth proportional to 6,449.16, 8,898.24 and 4,090.44 is: 5,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.16 : 8,898.24 = 4,090.44 : x
  2. Step 2: Convert to fraction form
    6,449.16/8,898.24 = 4,090.44/x
  3. Step 3: Cross multiply
    6,449.16x = 8,898.24 × 4,090.44
  4. Step 4: Simplify right side
    6,449.16x = 36,397,716.83
  5. Step 5: Solve for x
    x = 36,397,716.83/6,449.16
  6. Step 6: Final answer
    x = 5,643.79

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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.