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Finding the Fourth Proportional to 5,662.57, 8,493.10 and 1,502.82

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Solution

The fourth proportional to 5,662.57, 8,493.10 and 1,502.82 is: 2,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.57 : 8,493.10 = 1,502.82 : x
  2. Step 2: Convert to fraction form
    5,662.57/8,493.10 = 1,502.82/x
  3. Step 3: Cross multiply
    5,662.57x = 8,493.10 × 1,502.82
  4. Step 4: Simplify right side
    5,662.57x = 12,763,600.54
  5. Step 5: Solve for x
    x = 12,763,600.54/5,662.57
  6. Step 6: Final answer
    x = 2,254.03

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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.