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Finding the Fourth Proportional to 3,543.56, 5,315.38 and 1,694.24

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Solution

The fourth proportional to 3,543.56, 5,315.38 and 1,694.24 is: 2,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.56 : 5,315.38 = 1,694.24 : x
  2. Step 2: Convert to fraction form
    3,543.56/5,315.38 = 1,694.24/x
  3. Step 3: Cross multiply
    3,543.56x = 5,315.38 × 1,694.24
  4. Step 4: Simplify right side
    3,543.56x = 9,005,529.41
  5. Step 5: Solve for x
    x = 9,005,529.41/3,543.56
  6. Step 6: Final answer
    x = 2,541.38

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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.