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Finding the Fourth Proportional to 4,201.04, 6,301.84 and 1,279.38

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Solution

The fourth proportional to 4,201.04, 6,301.84 and 1,279.38 is: 1,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.04 : 6,301.84 = 1,279.38 : x
  2. Step 2: Convert to fraction form
    4,201.04/6,301.84 = 1,279.38/x
  3. Step 3: Cross multiply
    4,201.04x = 6,301.84 × 1,279.38
  4. Step 4: Simplify right side
    4,201.04x = 8,062,448.06
  5. Step 5: Solve for x
    x = 8,062,448.06/4,201.04
  6. Step 6: Final answer
    x = 1,919.16

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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.