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Finding the Fourth Proportional to 4,494.42, 6,743.25 and 1,897.56

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Solution

The fourth proportional to 4,494.42, 6,743.25 and 1,897.56 is: 2,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.42 : 6,743.25 = 1,897.56 : x
  2. Step 2: Convert to fraction form
    4,494.42/6,743.25 = 1,897.56/x
  3. Step 3: Cross multiply
    4,494.42x = 6,743.25 × 1,897.56
  4. Step 4: Simplify right side
    4,494.42x = 12,795,721.47
  5. Step 5: Solve for x
    x = 12,795,721.47/4,494.42
  6. Step 6: Final answer
    x = 2,847.02

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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.