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Finding the Fourth Proportional to 3,279.64, 4,529.10 and 2,804.78

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Solution

The fourth proportional to 3,279.64, 4,529.10 and 2,804.78 is: 3,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.64 : 4,529.10 = 2,804.78 : x
  2. Step 2: Convert to fraction form
    3,279.64/4,529.10 = 2,804.78/x
  3. Step 3: Cross multiply
    3,279.64x = 4,529.10 × 2,804.78
  4. Step 4: Simplify right side
    3,279.64x = 12,703,129.10
  5. Step 5: Solve for x
    x = 12,703,129.10/3,279.64
  6. Step 6: Final answer
    x = 3,873.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.