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Finding the Fourth Proportional to 4,279.64, 6,410.41 and 2,193.28

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Solution

The fourth proportional to 4,279.64, 6,410.41 and 2,193.28 is: 3,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279.64 : 6,410.41 = 2,193.28 : x
  2. Step 2: Convert to fraction form
    4,279.64/6,410.41 = 2,193.28/x
  3. Step 3: Cross multiply
    4,279.64x = 6,410.41 × 2,193.28
  4. Step 4: Simplify right side
    4,279.64x = 14,059,802.54
  5. Step 5: Solve for x
    x = 14,059,802.54/4,279.64
  6. Step 6: Final answer
    x = 3,285.28

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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.