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Finding the Fourth Proportional to 5,664.70, 7,816.74 and 3,306.37

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Solution

The fourth proportional to 5,664.70, 7,816.74 and 3,306.37 is: 4,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.70 : 7,816.74 = 3,306.37 : x
  2. Step 2: Convert to fraction form
    5,664.70/7,816.74 = 3,306.37/x
  3. Step 3: Cross multiply
    5,664.70x = 7,816.74 × 3,306.37
  4. Step 4: Simplify right side
    5,664.70x = 25,845,034.63
  5. Step 5: Solve for x
    x = 25,845,034.63/5,664.70
  6. Step 6: Final answer
    x = 4,562.47

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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.