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Finding the Fourth Proportional to 5,664.38, 7,817.04 and 3,306.06

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Solution

The fourth proportional to 5,664.38, 7,817.04 and 3,306.06 is: 4,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.38 : 7,817.04 = 3,306.06 : x
  2. Step 2: Convert to fraction form
    5,664.38/7,817.04 = 3,306.06/x
  3. Step 3: Cross multiply
    5,664.38x = 7,817.04 × 3,306.06
  4. Step 4: Simplify right side
    5,664.38x = 25,843,603.26
  5. Step 5: Solve for x
    x = 25,843,603.26/5,664.38
  6. Step 6: Final answer
    x = 4,562.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.