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Finding the Fourth Proportional to 3,946.69, 5,923.51 and 1,606.69

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Solution

The fourth proportional to 3,946.69, 5,923.51 and 1,606.69 is: 2,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.69 : 5,923.51 = 1,606.69 : x
  2. Step 2: Convert to fraction form
    3,946.69/5,923.51 = 1,606.69/x
  3. Step 3: Cross multiply
    3,946.69x = 5,923.51 × 1,606.69
  4. Step 4: Simplify right side
    3,946.69x = 9,517,247.67
  5. Step 5: Solve for x
    x = 9,517,247.67/3,946.69
  6. Step 6: Final answer
    x = 2,411.45

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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.