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Finding the Fourth Proportional to 5,836.75, 8,756.64 and 3,062.68

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Solution

The fourth proportional to 5,836.75, 8,756.64 and 3,062.68 is: 4,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.75 : 8,756.64 = 3,062.68 : x
  2. Step 2: Convert to fraction form
    5,836.75/8,756.64 = 3,062.68/x
  3. Step 3: Cross multiply
    5,836.75x = 8,756.64 × 3,062.68
  4. Step 4: Simplify right side
    5,836.75x = 26,818,786.20
  5. Step 5: Solve for x
    x = 26,818,786.20/5,836.75
  6. Step 6: Final answer
    x = 4,594.81

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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.