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Finding the Fourth Proportional to 5,493.10, 7,574.42 and 3,500.50

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Solution

The fourth proportional to 5,493.10, 7,574.42 and 3,500.50 is: 4,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.10 : 7,574.42 = 3,500.50 : x
  2. Step 2: Convert to fraction form
    5,493.10/7,574.42 = 3,500.50/x
  3. Step 3: Cross multiply
    5,493.10x = 7,574.42 × 3,500.50
  4. Step 4: Simplify right side
    5,493.10x = 26,514,257.21
  5. Step 5: Solve for x
    x = 26,514,257.21/5,493.10
  6. Step 6: Final answer
    x = 4,826.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.