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Finding the Fourth Proportional to 4,196, 6,294.90 and 1,422.74

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Solution

The fourth proportional to 4,196, 6,294.90 and 1,422.74 is: 2,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 6,294.90 = 1,422.74 : x
  2. Step 2: Convert to fraction form
    4,196/6,294.90 = 1,422.74/x
  3. Step 3: Cross multiply
    4,196x = 6,294.90 × 1,422.74
  4. Step 4: Simplify right side
    4,196x = 8,956,006.03
  5. Step 5: Solve for x
    x = 8,956,006.03/4,196
  6. Step 6: Final answer
    x = 2,134.42

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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.