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Finding the Fourth Proportional to 5,664.07, 7,816.41 and 3,306.22

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Solution

The fourth proportional to 5,664.07, 7,816.41 and 3,306.22 is: 4,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.07 : 7,816.41 = 3,306.22 : x
  2. Step 2: Convert to fraction form
    5,664.07/7,816.41 = 3,306.22/x
  3. Step 3: Cross multiply
    5,664.07x = 7,816.41 × 3,306.22
  4. Step 4: Simplify right side
    5,664.07x = 25,842,771.07
  5. Step 5: Solve for x
    x = 25,842,771.07/5,664.07
  6. Step 6: Final answer
    x = 4,562.58

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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.