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Finding the Fourth Proportional to 3,003.92, 4,506.04 and 952.08

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Solution

The fourth proportional to 3,003.92, 4,506.04 and 952.08 is: 1,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.92 : 4,506.04 = 952.08 : x
  2. Step 2: Convert to fraction form
    3,003.92/4,506.04 = 952.08/x
  3. Step 3: Cross multiply
    3,003.92x = 4,506.04 × 952.08
  4. Step 4: Simplify right side
    3,003.92x = 4,290,110.56
  5. Step 5: Solve for x
    x = 4,290,110.56/3,003.92
  6. Step 6: Final answer
    x = 1,428.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.