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Finding the Fourth Proportional to 3,524.99, 5,285.66 and 1,549.80

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Solution

The fourth proportional to 3,524.99, 5,285.66 and 1,549.80 is: 2,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.99 : 5,285.66 = 1,549.80 : x
  2. Step 2: Convert to fraction form
    3,524.99/5,285.66 = 1,549.80/x
  3. Step 3: Cross multiply
    3,524.99x = 5,285.66 × 1,549.80
  4. Step 4: Simplify right side
    3,524.99x = 8,191,708.12
  5. Step 5: Solve for x
    x = 8,191,708.12/3,524.99
  6. Step 6: Final answer
    x = 2,323.90

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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.