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Finding the Fourth Proportional to 3,415.07, 5,114.52 and 2,178.73

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Solution

The fourth proportional to 3,415.07, 5,114.52 and 2,178.73 is: 3,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.07 : 5,114.52 = 2,178.73 : x
  2. Step 2: Convert to fraction form
    3,415.07/5,114.52 = 2,178.73/x
  3. Step 3: Cross multiply
    3,415.07x = 5,114.52 × 2,178.73
  4. Step 4: Simplify right side
    3,415.07x = 11,143,158.16
  5. Step 5: Solve for x
    x = 11,143,158.16/3,415.07
  6. Step 6: Final answer
    x = 3,262.94

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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.