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Finding the Fourth Proportional to 5,664.80, 7,818 and 3,306.80

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Solution

The fourth proportional to 5,664.80, 7,818 and 3,306.80 is: 4,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.80 : 7,818 = 3,306.80 : x
  2. Step 2: Convert to fraction form
    5,664.80/7,818 = 3,306.80/x
  3. Step 3: Cross multiply
    5,664.80x = 7,818 × 3,306.80
  4. Step 4: Simplify right side
    5,664.80x = 25,852,562.40
  5. Step 5: Solve for x
    x = 25,852,562.40/5,664.80
  6. Step 6: Final answer
    x = 4,563.72

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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.