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Finding the Fourth Proportional to 5,641.36, 8,460.84 and 3,993.20

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Solution

The fourth proportional to 5,641.36, 8,460.84 and 3,993.20 is: 5,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.36 : 8,460.84 = 3,993.20 : x
  2. Step 2: Convert to fraction form
    5,641.36/8,460.84 = 3,993.20/x
  3. Step 3: Cross multiply
    5,641.36x = 8,460.84 × 3,993.20
  4. Step 4: Simplify right side
    5,641.36x = 33,785,826.29
  5. Step 5: Solve for x
    x = 33,785,826.29/5,641.36
  6. Step 6: Final answer
    x = 5,988.95

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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.