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Finding the Fourth Proportional to 3,759.89, 5,641.14 and 1,162.82

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Solution

The fourth proportional to 3,759.89, 5,641.14 and 1,162.82 is: 1,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.89 : 5,641.14 = 1,162.82 : x
  2. Step 2: Convert to fraction form
    3,759.89/5,641.14 = 1,162.82/x
  3. Step 3: Cross multiply
    3,759.89x = 5,641.14 × 1,162.82
  4. Step 4: Simplify right side
    3,759.89x = 6,559,602.21
  5. Step 5: Solve for x
    x = 6,559,602.21/3,759.89
  6. Step 6: Final answer
    x = 1,744.63

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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.