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Finding the Fourth Proportional to 4,201.56, 6,303.30 and 1,279.92

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Solution

The fourth proportional to 4,201.56, 6,303.30 and 1,279.92 is: 1,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.56 : 6,303.30 = 1,279.92 : x
  2. Step 2: Convert to fraction form
    4,201.56/6,303.30 = 1,279.92/x
  3. Step 3: Cross multiply
    4,201.56x = 6,303.30 × 1,279.92
  4. Step 4: Simplify right side
    4,201.56x = 8,067,719.74
  5. Step 5: Solve for x
    x = 8,067,719.74/4,201.56
  6. Step 6: Final answer
    x = 1,920.17

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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.