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Finding the Fourth Proportional to 4,843.42, 7,264.20 and 1,881.86

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Solution

The fourth proportional to 4,843.42, 7,264.20 and 1,881.86 is: 2,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.42 : 7,264.20 = 1,881.86 : x
  2. Step 2: Convert to fraction form
    4,843.42/7,264.20 = 1,881.86/x
  3. Step 3: Cross multiply
    4,843.42x = 7,264.20 × 1,881.86
  4. Step 4: Simplify right side
    4,843.42x = 13,670,207.41
  5. Step 5: Solve for x
    x = 13,670,207.41/4,843.42
  6. Step 6: Final answer
    x = 2,822.43

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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.