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Finding the Fourth Proportional to 3,761.67, 5,642.37 and 1,295.04

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Solution

The fourth proportional to 3,761.67, 5,642.37 and 1,295.04 is: 1,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.67 : 5,642.37 = 1,295.04 : x
  2. Step 2: Convert to fraction form
    3,761.67/5,642.37 = 1,295.04/x
  3. Step 3: Cross multiply
    3,761.67x = 5,642.37 × 1,295.04
  4. Step 4: Simplify right side
    3,761.67x = 7,307,094.84
  5. Step 5: Solve for x
    x = 7,307,094.84/3,761.67
  6. Step 6: Final answer
    x = 1,942.51

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1.5x scale

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.