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Finding the Fourth Proportional to 6,449.73, 8,902.47 and 3,798.68

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Solution

The fourth proportional to 6,449.73, 8,902.47 and 3,798.68 is: 5,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.73 : 8,902.47 = 3,798.68 : x
  2. Step 2: Convert to fraction form
    6,449.73/8,902.47 = 3,798.68/x
  3. Step 3: Cross multiply
    6,449.73x = 8,902.47 × 3,798.68
  4. Step 4: Simplify right side
    6,449.73x = 33,817,590.23
  5. Step 5: Solve for x
    x = 33,817,590.23/6,449.73
  6. Step 6: Final answer
    x = 5,243.26

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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.