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Finding the Fourth Proportional to 4,707.68, 7,052.91 and 2,204.27

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Solution

The fourth proportional to 4,707.68, 7,052.91 and 2,204.27 is: 3,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.68 : 7,052.91 = 2,204.27 : x
  2. Step 2: Convert to fraction form
    4,707.68/7,052.91 = 2,204.27/x
  3. Step 3: Cross multiply
    4,707.68x = 7,052.91 × 2,204.27
  4. Step 4: Simplify right side
    4,707.68x = 15,546,512.42
  5. Step 5: Solve for x
    x = 15,546,512.42/4,707.68
  6. Step 6: Final answer
    x = 3,302.38

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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.