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Finding the Fourth Proportional to 3,301.72, 4,946.82 and 2,004.28

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Solution

The fourth proportional to 3,301.72, 4,946.82 and 2,004.28 is: 3,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.72 : 4,946.82 = 2,004.28 : x
  2. Step 2: Convert to fraction form
    3,301.72/4,946.82 = 2,004.28/x
  3. Step 3: Cross multiply
    3,301.72x = 4,946.82 × 2,004.28
  4. Step 4: Simplify right side
    3,301.72x = 9,914,812.39
  5. Step 5: Solve for x
    x = 9,914,812.39/3,301.72
  6. Step 6: Final answer
    x = 3,002.92

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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.