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Finding the Fourth Proportional to 3,295.89, 4,942.01 and 2,505.53

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Solution

The fourth proportional to 3,295.89, 4,942.01 and 2,505.53 is: 3,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.89 : 4,942.01 = 2,505.53 : x
  2. Step 2: Convert to fraction form
    3,295.89/4,942.01 = 2,505.53/x
  3. Step 3: Cross multiply
    3,295.89x = 4,942.01 × 2,505.53
  4. Step 4: Simplify right side
    3,295.89x = 12,382,372.93
  5. Step 5: Solve for x
    x = 12,382,372.93/3,295.89
  6. Step 6: Final answer
    x = 3,756.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.