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Finding the Fourth Proportional to 5,643.29, 8,464.72 and 1,483.26

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Solution

The fourth proportional to 5,643.29, 8,464.72 and 1,483.26 is: 2,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.29 : 8,464.72 = 1,483.26 : x
  2. Step 2: Convert to fraction form
    5,643.29/8,464.72 = 1,483.26/x
  3. Step 3: Cross multiply
    5,643.29x = 8,464.72 × 1,483.26
  4. Step 4: Simplify right side
    5,643.29x = 12,555,380.59
  5. Step 5: Solve for x
    x = 12,555,380.59/5,643.29
  6. Step 6: Final answer
    x = 2,224.83

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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.