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Finding the Fourth Proportional to 5,722.06, 7,897.12 and 3,204.58

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Solution

The fourth proportional to 5,722.06, 7,897.12 and 3,204.58 is: 4,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.06 : 7,897.12 = 3,204.58 : x
  2. Step 2: Convert to fraction form
    5,722.06/7,897.12 = 3,204.58/x
  3. Step 3: Cross multiply
    5,722.06x = 7,897.12 × 3,204.58
  4. Step 4: Simplify right side
    5,722.06x = 25,306,952.81
  5. Step 5: Solve for x
    x = 25,306,952.81/5,722.06
  6. Step 6: Final answer
    x = 4,422.70

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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.