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Finding the Fourth Proportional to 5,897.82, 8,141.42 and 3,539.50

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Solution

The fourth proportional to 5,897.82, 8,141.42 and 3,539.50 is: 4,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.82 : 8,141.42 = 3,539.50 : x
  2. Step 2: Convert to fraction form
    5,897.82/8,141.42 = 3,539.50/x
  3. Step 3: Cross multiply
    5,897.82x = 8,141.42 × 3,539.50
  4. Step 4: Simplify right side
    5,897.82x = 28,816,556.09
  5. Step 5: Solve for x
    x = 28,816,556.09/5,897.82
  6. Step 6: Final answer
    x = 4,885.97

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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.