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Finding the Fourth Proportional to 3,979.32, 5,966.92 and 1,786.16

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Solution

The fourth proportional to 3,979.32, 5,966.92 and 1,786.16 is: 2,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.32 : 5,966.92 = 1,786.16 : x
  2. Step 2: Convert to fraction form
    3,979.32/5,966.92 = 1,786.16/x
  3. Step 3: Cross multiply
    3,979.32x = 5,966.92 × 1,786.16
  4. Step 4: Simplify right side
    3,979.32x = 10,657,873.83
  5. Step 5: Solve for x
    x = 10,657,873.83/3,979.32
  6. Step 6: Final answer
    x = 2,678.32

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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.