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Finding the Fourth Proportional to 4,864.56, 6,706.20 and 4,021.68

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Solution

The fourth proportional to 4,864.56, 6,706.20 and 4,021.68 is: 5,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.56 : 6,706.20 = 4,021.68 : x
  2. Step 2: Convert to fraction form
    4,864.56/6,706.20 = 4,021.68/x
  3. Step 3: Cross multiply
    4,864.56x = 6,706.20 × 4,021.68
  4. Step 4: Simplify right side
    4,864.56x = 26,970,190.42
  5. Step 5: Solve for x
    x = 26,970,190.42/4,864.56
  6. Step 6: Final answer
    x = 5,544.22

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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.