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Finding the Fourth Proportional to 3,369.60, 5,056.71 and 1,178.34

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Solution

The fourth proportional to 3,369.60, 5,056.71 and 1,178.34 is: 1,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.60 : 5,056.71 = 1,178.34 : x
  2. Step 2: Convert to fraction form
    3,369.60/5,056.71 = 1,178.34/x
  3. Step 3: Cross multiply
    3,369.60x = 5,056.71 × 1,178.34
  4. Step 4: Simplify right side
    3,369.60x = 5,958,523.66
  5. Step 5: Solve for x
    x = 5,958,523.66/3,369.60
  6. Step 6: Final answer
    x = 1,768.32

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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.