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Finding the Fourth Proportional to 4,809.38, 6,637.01 and 2,946.38

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Solution

The fourth proportional to 4,809.38, 6,637.01 and 2,946.38 is: 4,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.38 : 6,637.01 = 2,946.38 : x
  2. Step 2: Convert to fraction form
    4,809.38/6,637.01 = 2,946.38/x
  3. Step 3: Cross multiply
    4,809.38x = 6,637.01 × 2,946.38
  4. Step 4: Simplify right side
    4,809.38x = 19,555,105.61
  5. Step 5: Solve for x
    x = 19,555,105.61/4,809.38
  6. Step 6: Final answer
    x = 4,066.04

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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.