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Finding the Fourth Proportional to 5,643.08, 8,465.98 and 1,694.33

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Solution

The fourth proportional to 5,643.08, 8,465.98 and 1,694.33 is: 2,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.08 : 8,465.98 = 1,694.33 : x
  2. Step 2: Convert to fraction form
    5,643.08/8,465.98 = 1,694.33/x
  3. Step 3: Cross multiply
    5,643.08x = 8,465.98 × 1,694.33
  4. Step 4: Simplify right side
    5,643.08x = 14,344,163.89
  5. Step 5: Solve for x
    x = 14,344,163.89/5,643.08
  6. Step 6: Final answer
    x = 2,541.90

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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.