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Finding the Fourth Proportional to 3,593.36, 4,946.34 and 3,126.80

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Solution

The fourth proportional to 3,593.36, 4,946.34 and 3,126.80 is: 4,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.36 : 4,946.34 = 3,126.80 : x
  2. Step 2: Convert to fraction form
    3,593.36/4,946.34 = 3,126.80/x
  3. Step 3: Cross multiply
    3,593.36x = 4,946.34 × 3,126.80
  4. Step 4: Simplify right side
    3,593.36x = 15,466,215.91
  5. Step 5: Solve for x
    x = 15,466,215.91/3,593.36
  6. Step 6: Final answer
    x = 4,304.11

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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.