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Finding the Fourth Proportional to 2,796.56, 3,860.16 and 2,602.16

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Solution

The fourth proportional to 2,796.56, 3,860.16 and 2,602.16 is: 3,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.56 : 3,860.16 = 2,602.16 : x
  2. Step 2: Convert to fraction form
    2,796.56/3,860.16 = 2,602.16/x
  3. Step 3: Cross multiply
    2,796.56x = 3,860.16 × 2,602.16
  4. Step 4: Simplify right side
    2,796.56x = 10,044,753.95
  5. Step 5: Solve for x
    x = 10,044,753.95/2,796.56
  6. Step 6: Final answer
    x = 3,591.82

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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.