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Finding the Fourth Proportional to 3,452.06, 5,178.94 and 986.90

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Solution

The fourth proportional to 3,452.06, 5,178.94 and 986.90 is: 1,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.06 : 5,178.94 = 986.90 : x
  2. Step 2: Convert to fraction form
    3,452.06/5,178.94 = 986.90/x
  3. Step 3: Cross multiply
    3,452.06x = 5,178.94 × 986.90
  4. Step 4: Simplify right side
    3,452.06x = 5,111,095.89
  5. Step 5: Solve for x
    x = 5,111,095.89/3,452.06
  6. Step 6: Final answer
    x = 1,480.59

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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.