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Finding the Fourth Proportional to 4,418.57, 6,629.24 and 1,645.47

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Solution

The fourth proportional to 4,418.57, 6,629.24 and 1,645.47 is: 2,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418.57 : 6,629.24 = 1,645.47 : x
  2. Step 2: Convert to fraction form
    4,418.57/6,629.24 = 1,645.47/x
  3. Step 3: Cross multiply
    4,418.57x = 6,629.24 × 1,645.47
  4. Step 4: Simplify right side
    4,418.57x = 10,908,219.66
  5. Step 5: Solve for x
    x = 10,908,219.66/4,418.57
  6. Step 6: Final answer
    x = 2,468.72

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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.