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Finding the Fourth Proportional to 4,895.20, 7,345.20 and 2,297.68

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Solution

The fourth proportional to 4,895.20, 7,345.20 and 2,297.68 is: 3,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.20 : 7,345.20 = 2,297.68 : x
  2. Step 2: Convert to fraction form
    4,895.20/7,345.20 = 2,297.68/x
  3. Step 3: Cross multiply
    4,895.20x = 7,345.20 × 2,297.68
  4. Step 4: Simplify right side
    4,895.20x = 16,876,919.14
  5. Step 5: Solve for x
    x = 16,876,919.14/4,895.20
  6. Step 6: Final answer
    x = 3,447.65

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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.