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Finding the Fourth Proportional to 4,781.92, 6,585.60 and 3,946

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Solution

The fourth proportional to 4,781.92, 6,585.60 and 3,946 is: 5,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.92 : 6,585.60 = 3,946 : x
  2. Step 2: Convert to fraction form
    4,781.92/6,585.60 = 3,946/x
  3. Step 3: Cross multiply
    4,781.92x = 6,585.60 × 3,946
  4. Step 4: Simplify right side
    4,781.92x = 25,986,777.60
  5. Step 5: Solve for x
    x = 25,986,777.60/4,781.92
  6. Step 6: Final answer
    x = 5,434.38

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Why These Related Problems?

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