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Finding the Fourth Proportional to 4,562.74, 6,847.18 and 1,789.07

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Solution

The fourth proportional to 4,562.74, 6,847.18 and 1,789.07 is: 2,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.74 : 6,847.18 = 1,789.07 : x
  2. Step 2: Convert to fraction form
    4,562.74/6,847.18 = 1,789.07/x
  3. Step 3: Cross multiply
    4,562.74x = 6,847.18 × 1,789.07
  4. Step 4: Simplify right side
    4,562.74x = 12,250,084.32
  5. Step 5: Solve for x
    x = 12,250,084.32/4,562.74
  6. Step 6: Final answer
    x = 2,684.81

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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.