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Finding the Fourth Proportional to 3,403.86, 4,697.46 and 1,912.02

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Solution

The fourth proportional to 3,403.86, 4,697.46 and 1,912.02 is: 2,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.86 : 4,697.46 = 1,912.02 : x
  2. Step 2: Convert to fraction form
    3,403.86/4,697.46 = 1,912.02/x
  3. Step 3: Cross multiply
    3,403.86x = 4,697.46 × 1,912.02
  4. Step 4: Simplify right side
    3,403.86x = 8,981,637.47
  5. Step 5: Solve for x
    x = 8,981,637.47/3,403.86
  6. Step 6: Final answer
    x = 2,638.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.