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Finding the Fourth Proportional to 3,661.94, 5,489.62 and 1,320.32

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Solution

The fourth proportional to 3,661.94, 5,489.62 and 1,320.32 is: 1,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.94 : 5,489.62 = 1,320.32 : x
  2. Step 2: Convert to fraction form
    3,661.94/5,489.62 = 1,320.32/x
  3. Step 3: Cross multiply
    3,661.94x = 5,489.62 × 1,320.32
  4. Step 4: Simplify right side
    3,661.94x = 7,248,055.08
  5. Step 5: Solve for x
    x = 7,248,055.08/3,661.94
  6. Step 6: Final answer
    x = 1,979.29

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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.