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Finding the Fourth Proportional to 3,333.24, 4,995 and 2,275.38

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Solution

The fourth proportional to 3,333.24, 4,995 and 2,275.38 is: 3,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.24 : 4,995 = 2,275.38 : x
  2. Step 2: Convert to fraction form
    3,333.24/4,995 = 2,275.38/x
  3. Step 3: Cross multiply
    3,333.24x = 4,995 × 2,275.38
  4. Step 4: Simplify right side
    3,333.24x = 11,365,523.10
  5. Step 5: Solve for x
    x = 11,365,523.10/3,333.24
  6. Step 6: Final answer
    x = 3,409.75

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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.