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Finding the Fourth Proportional to 3,946.57, 5,923.32 and 1,606.57

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Solution

The fourth proportional to 3,946.57, 5,923.32 and 1,606.57 is: 2,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.57 : 5,923.32 = 1,606.57 : x
  2. Step 2: Convert to fraction form
    3,946.57/5,923.32 = 1,606.57/x
  3. Step 3: Cross multiply
    3,946.57x = 5,923.32 × 1,606.57
  4. Step 4: Simplify right side
    3,946.57x = 9,516,228.21
  5. Step 5: Solve for x
    x = 9,516,228.21/3,946.57
  6. Step 6: Final answer
    x = 2,411.27

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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.