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Finding the Fourth Proportional to 3,761.76, 5,642.64 and 2,033.76

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Solution

The fourth proportional to 3,761.76, 5,642.64 and 2,033.76 is: 3,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.76 : 5,642.64 = 2,033.76 : x
  2. Step 2: Convert to fraction form
    3,761.76/5,642.64 = 2,033.76/x
  3. Step 3: Cross multiply
    3,761.76x = 5,642.64 × 2,033.76
  4. Step 4: Simplify right side
    3,761.76x = 11,475,775.53
  5. Step 5: Solve for x
    x = 11,475,775.53/3,761.76
  6. Step 6: Final answer
    x = 3,050.64

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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.