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Finding the Fourth Proportional to 5,780.58, 8,670.82 and 1,831.83

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Solution

The fourth proportional to 5,780.58, 8,670.82 and 1,831.83 is: 2,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.58 : 8,670.82 = 1,831.83 : x
  2. Step 2: Convert to fraction form
    5,780.58/8,670.82 = 1,831.83/x
  3. Step 3: Cross multiply
    5,780.58x = 8,670.82 × 1,831.83
  4. Step 4: Simplify right side
    5,780.58x = 15,883,468.20
  5. Step 5: Solve for x
    x = 15,883,468.20/5,780.58
  6. Step 6: Final answer
    x = 2,747.73

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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.