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Finding the Fourth Proportional to 4,206.75, 5,806.62 and 2,714.64

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Solution

The fourth proportional to 4,206.75, 5,806.62 and 2,714.64 is: 3,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.75 : 5,806.62 = 2,714.64 : x
  2. Step 2: Convert to fraction form
    4,206.75/5,806.62 = 2,714.64/x
  3. Step 3: Cross multiply
    4,206.75x = 5,806.62 × 2,714.64
  4. Step 4: Simplify right side
    4,206.75x = 15,762,882.92
  5. Step 5: Solve for x
    x = 15,762,882.92/4,206.75
  6. Step 6: Final answer
    x = 3,747.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.