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Finding the Fourth Proportional to 4,191, 6,278.28 and 2,874.60

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Solution

The fourth proportional to 4,191, 6,278.28 and 2,874.60 is: 4,306.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 6,278.28 = 2,874.60 : x
  2. Step 2: Convert to fraction form
    4,191/6,278.28 = 2,874.60/x
  3. Step 3: Cross multiply
    4,191x = 6,278.28 × 2,874.60
  4. Step 4: Simplify right side
    4,191x = 18,047,543.69
  5. Step 5: Solve for x
    x = 18,047,543.69/4,191
  6. Step 6: Final answer
    x = 4,306.26

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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.