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Finding the Fourth Proportional to 4,393.14, 6,590.25 and 1,795.74

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Solution

The fourth proportional to 4,393.14, 6,590.25 and 1,795.74 is: 2,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.14 : 6,590.25 = 1,795.74 : x
  2. Step 2: Convert to fraction form
    4,393.14/6,590.25 = 1,795.74/x
  3. Step 3: Cross multiply
    4,393.14x = 6,590.25 × 1,795.74
  4. Step 4: Simplify right side
    4,393.14x = 11,834,375.54
  5. Step 5: Solve for x
    x = 11,834,375.54/4,393.14
  6. Step 6: Final answer
    x = 2,693.83

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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.