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Finding the Fourth Proportional to 6,539.78, 9,808.29 and 2,156.20

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Solution

The fourth proportional to 6,539.78, 9,808.29 and 2,156.20 is: 3,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.78 : 9,808.29 = 2,156.20 : x
  2. Step 2: Convert to fraction form
    6,539.78/9,808.29 = 2,156.20/x
  3. Step 3: Cross multiply
    6,539.78x = 9,808.29 × 2,156.20
  4. Step 4: Simplify right side
    6,539.78x = 21,148,610.38
  5. Step 5: Solve for x
    x = 21,148,610.38/6,539.78
  6. Step 6: Final answer
    x = 3,233.84

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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.