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Finding the Fourth Proportional to 4,199.64, 6,300.67 and 1,278.17

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Solution

The fourth proportional to 4,199.64, 6,300.67 and 1,278.17 is: 1,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.64 : 6,300.67 = 1,278.17 : x
  2. Step 2: Convert to fraction form
    4,199.64/6,300.67 = 1,278.17/x
  3. Step 3: Cross multiply
    4,199.64x = 6,300.67 × 1,278.17
  4. Step 4: Simplify right side
    4,199.64x = 8,053,327.37
  5. Step 5: Solve for x
    x = 8,053,327.37/4,199.64
  6. Step 6: Final answer
    x = 1,917.62

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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.