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Finding the Fourth Proportional to 4,564.09, 6,844.46 and 2,223.39

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Solution

The fourth proportional to 4,564.09, 6,844.46 and 2,223.39 is: 3,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.09 : 6,844.46 = 2,223.39 : x
  2. Step 2: Convert to fraction form
    4,564.09/6,844.46 = 2,223.39/x
  3. Step 3: Cross multiply
    4,564.09x = 6,844.46 × 2,223.39
  4. Step 4: Simplify right side
    4,564.09x = 15,217,903.92
  5. Step 5: Solve for x
    x = 15,217,903.92/4,564.09
  6. Step 6: Final answer
    x = 3,334.27

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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.