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Finding the Fourth Proportional to 5,261.68, 7,890 and 2,797.66

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Solution

The fourth proportional to 5,261.68, 7,890 and 2,797.66 is: 4,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.68 : 7,890 = 2,797.66 : x
  2. Step 2: Convert to fraction form
    5,261.68/7,890 = 2,797.66/x
  3. Step 3: Cross multiply
    5,261.68x = 7,890 × 2,797.66
  4. Step 4: Simplify right side
    5,261.68x = 22,073,537.40
  5. Step 5: Solve for x
    x = 22,073,537.40/5,261.68
  6. Step 6: Final answer
    x = 4,195.15

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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.