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Finding the Fourth Proportional to 3,403.32, 5,097.78 and 3,364.44

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Solution

The fourth proportional to 3,403.32, 5,097.78 and 3,364.44 is: 5,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.32 : 5,097.78 = 3,364.44 : x
  2. Step 2: Convert to fraction form
    3,403.32/5,097.78 = 3,364.44/x
  3. Step 3: Cross multiply
    3,403.32x = 5,097.78 × 3,364.44
  4. Step 4: Simplify right side
    3,403.32x = 17,151,174.94
  5. Step 5: Solve for x
    x = 17,151,174.94/3,403.32
  6. Step 6: Final answer
    x = 5,039.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.