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Finding the Fourth Proportional to 3,625.38, 4,968.18 and 3,275.46

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Solution

The fourth proportional to 3,625.38, 4,968.18 and 3,275.46 is: 4,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.38 : 4,968.18 = 3,275.46 : x
  2. Step 2: Convert to fraction form
    3,625.38/4,968.18 = 3,275.46/x
  3. Step 3: Cross multiply
    3,625.38x = 4,968.18 × 3,275.46
  4. Step 4: Simplify right side
    3,625.38x = 16,273,074.86
  5. Step 5: Solve for x
    x = 16,273,074.86/3,625.38
  6. Step 6: Final answer
    x = 4,488.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.