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Finding the Fourth Proportional to 3,644.10, 5,465.73 and 1,011.80

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Solution

The fourth proportional to 3,644.10, 5,465.73 and 1,011.80 is: 1,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.10 : 5,465.73 = 1,011.80 : x
  2. Step 2: Convert to fraction form
    3,644.10/5,465.73 = 1,011.80/x
  3. Step 3: Cross multiply
    3,644.10x = 5,465.73 × 1,011.80
  4. Step 4: Simplify right side
    3,644.10x = 5,530,225.61
  5. Step 5: Solve for x
    x = 5,530,225.61/3,644.10
  6. Step 6: Final answer
    x = 1,517.58

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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.