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Finding the Fourth Proportional to 5,722.03, 7,897.16 and 3,204.28

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Solution

The fourth proportional to 5,722.03, 7,897.16 and 3,204.28 is: 4,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.03 : 7,897.16 = 3,204.28 : x
  2. Step 2: Convert to fraction form
    5,722.03/7,897.16 = 3,204.28/x
  3. Step 3: Cross multiply
    5,722.03x = 7,897.16 × 3,204.28
  4. Step 4: Simplify right side
    5,722.03x = 25,304,656.34
  5. Step 5: Solve for x
    x = 25,304,656.34/5,722.03
  6. Step 6: Final answer
    x = 4,422.33

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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.