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Finding the Fourth Proportional to 3,946.32, 5,922.89 and 1,607.61

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Solution

The fourth proportional to 3,946.32, 5,922.89 and 1,607.61 is: 2,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.32 : 5,922.89 = 1,607.61 : x
  2. Step 2: Convert to fraction form
    3,946.32/5,922.89 = 1,607.61/x
  3. Step 3: Cross multiply
    3,946.32x = 5,922.89 × 1,607.61
  4. Step 4: Simplify right side
    3,946.32x = 9,521,717.39
  5. Step 5: Solve for x
    x = 9,521,717.39/3,946.32
  6. Step 6: Final answer
    x = 2,412.81

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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.