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Finding the Fourth Proportional to 3,294.02, 4,917.55 and 3,178.66

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Solution

The fourth proportional to 3,294.02, 4,917.55 and 3,178.66 is: 4,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.02 : 4,917.55 = 3,178.66 : x
  2. Step 2: Convert to fraction form
    3,294.02/4,917.55 = 3,178.66/x
  3. Step 3: Cross multiply
    3,294.02x = 4,917.55 × 3,178.66
  4. Step 4: Simplify right side
    3,294.02x = 15,631,219.48
  5. Step 5: Solve for x
    x = 15,631,219.48/3,294.02
  6. Step 6: Final answer
    x = 4,745.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.