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Finding the Fourth Proportional to 3,490.80, 5,234.73 and 1,024.75

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Solution

The fourth proportional to 3,490.80, 5,234.73 and 1,024.75 is: 1,536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.80 : 5,234.73 = 1,024.75 : x
  2. Step 2: Convert to fraction form
    3,490.80/5,234.73 = 1,024.75/x
  3. Step 3: Cross multiply
    3,490.80x = 5,234.73 × 1,024.75
  4. Step 4: Simplify right side
    3,490.80x = 5,364,289.57
  5. Step 5: Solve for x
    x = 5,364,289.57/3,490.80
  6. Step 6: Final answer
    x = 1,536.69

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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.