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Finding the Fourth Proportional to 2,796.80, 3,862.34 and 2,534.36

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Solution

The fourth proportional to 2,796.80, 3,862.34 and 2,534.36 is: 3,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.80 : 3,862.34 = 2,534.36 : x
  2. Step 2: Convert to fraction form
    2,796.80/3,862.34 = 2,534.36/x
  3. Step 3: Cross multiply
    2,796.80x = 3,862.34 × 2,534.36
  4. Step 4: Simplify right side
    2,796.80x = 9,788,560.00
  5. Step 5: Solve for x
    x = 9,788,560.00/2,796.80
  6. Step 6: Final answer
    x = 3,499.91

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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.