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Finding the Fourth Proportional to 5,249.01, 7,234.74 and 3,477.54

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Solution

The fourth proportional to 5,249.01, 7,234.74 and 3,477.54 is: 4,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.01 : 7,234.74 = 3,477.54 : x
  2. Step 2: Convert to fraction form
    5,249.01/7,234.74 = 3,477.54/x
  3. Step 3: Cross multiply
    5,249.01x = 7,234.74 × 3,477.54
  4. Step 4: Simplify right side
    5,249.01x = 25,159,097.74
  5. Step 5: Solve for x
    x = 25,159,097.74/5,249.01
  6. Step 6: Final answer
    x = 4,793.11

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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.