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Finding the Fourth Proportional to 5,643.48, 8,463.57 and 1,694.56

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Solution

The fourth proportional to 5,643.48, 8,463.57 and 1,694.56 is: 2,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.48 : 8,463.57 = 1,694.56 : x
  2. Step 2: Convert to fraction form
    5,643.48/8,463.57 = 1,694.56/x
  3. Step 3: Cross multiply
    5,643.48x = 8,463.57 × 1,694.56
  4. Step 4: Simplify right side
    5,643.48x = 14,342,027.18
  5. Step 5: Solve for x
    x = 14,342,027.18/5,643.48
  6. Step 6: Final answer
    x = 2,541.34

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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.