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Finding the Fourth Proportional to 4,207.52, 6,311.56 and 1,742.42

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Solution

The fourth proportional to 4,207.52, 6,311.56 and 1,742.42 is: 2,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.52 : 6,311.56 = 1,742.42 : x
  2. Step 2: Convert to fraction form
    4,207.52/6,311.56 = 1,742.42/x
  3. Step 3: Cross multiply
    4,207.52x = 6,311.56 × 1,742.42
  4. Step 4: Simplify right side
    4,207.52x = 10,997,388.38
  5. Step 5: Solve for x
    x = 10,997,388.38/4,207.52
  6. Step 6: Final answer
    x = 2,613.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.