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Finding the Fourth Proportional to 3,509.42, 4,839.62 and 2,249.06

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Solution

The fourth proportional to 3,509.42, 4,839.62 and 2,249.06 is: 3,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.42 : 4,839.62 = 2,249.06 : x
  2. Step 2: Convert to fraction form
    3,509.42/4,839.62 = 2,249.06/x
  3. Step 3: Cross multiply
    3,509.42x = 4,839.62 × 2,249.06
  4. Step 4: Simplify right side
    3,509.42x = 10,884,595.76
  5. Step 5: Solve for x
    x = 10,884,595.76/3,509.42
  6. Step 6: Final answer
    x = 3,101.54

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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.