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Finding the Fourth Proportional to 4,207.70, 6,311.28 and 1,741.88

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Solution

The fourth proportional to 4,207.70, 6,311.28 and 1,741.88 is: 2,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.70 : 6,311.28 = 1,741.88 : x
  2. Step 2: Convert to fraction form
    4,207.70/6,311.28 = 1,741.88/x
  3. Step 3: Cross multiply
    4,207.70x = 6,311.28 × 1,741.88
  4. Step 4: Simplify right side
    4,207.70x = 10,993,492.41
  5. Step 5: Solve for x
    x = 10,993,492.41/4,207.70
  6. Step 6: Final answer
    x = 2,612.71

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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.