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Finding the Fourth Proportional to 5,261.10, 7,893 and 1,974.22

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Solution

The fourth proportional to 5,261.10, 7,893 and 1,974.22 is: 2,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.10 : 7,893 = 1,974.22 : x
  2. Step 2: Convert to fraction form
    5,261.10/7,893 = 1,974.22/x
  3. Step 3: Cross multiply
    5,261.10x = 7,893 × 1,974.22
  4. Step 4: Simplify right side
    5,261.10x = 15,582,518.46
  5. Step 5: Solve for x
    x = 15,582,518.46/5,261.10
  6. Step 6: Final answer
    x = 2,961.84

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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.