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Finding the Fourth Proportional to 5,531.08, 8,297.40 and 2,068

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Solution

The fourth proportional to 5,531.08, 8,297.40 and 2,068 is: 3,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.08 : 8,297.40 = 2,068 : x
  2. Step 2: Convert to fraction form
    5,531.08/8,297.40 = 2,068/x
  3. Step 3: Cross multiply
    5,531.08x = 8,297.40 × 2,068
  4. Step 4: Simplify right side
    5,531.08x = 17,159,023.20
  5. Step 5: Solve for x
    x = 17,159,023.20/5,531.08
  6. Step 6: Final answer
    x = 3,102.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.