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Finding the Fourth Proportional to 3,897.42, 5,379.72 and 3,102.20

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Solution

The fourth proportional to 3,897.42, 5,379.72 and 3,102.20 is: 4,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.42 : 5,379.72 = 3,102.20 : x
  2. Step 2: Convert to fraction form
    3,897.42/5,379.72 = 3,102.20/x
  3. Step 3: Cross multiply
    3,897.42x = 5,379.72 × 3,102.20
  4. Step 4: Simplify right side
    3,897.42x = 16,688,949.03
  5. Step 5: Solve for x
    x = 16,688,949.03/3,897.42
  6. Step 6: Final answer
    x = 4,282.05

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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.