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Finding the Fourth Proportional to 4,506.38, 6,204.44 and 3,946.28

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Solution

The fourth proportional to 4,506.38, 6,204.44 and 3,946.28 is: 5,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.38 : 6,204.44 = 3,946.28 : x
  2. Step 2: Convert to fraction form
    4,506.38/6,204.44 = 3,946.28/x
  3. Step 3: Cross multiply
    4,506.38x = 6,204.44 × 3,946.28
  4. Step 4: Simplify right side
    4,506.38x = 24,484,457.48
  5. Step 5: Solve for x
    x = 24,484,457.48/4,506.38
  6. Step 6: Final answer
    x = 5,433.29

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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.