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Finding the Fourth Proportional to 5,827.32, 8,742.42 and 2,539.56

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Solution

The fourth proportional to 5,827.32, 8,742.42 and 2,539.56 is: 3,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.32 : 8,742.42 = 2,539.56 : x
  2. Step 2: Convert to fraction form
    5,827.32/8,742.42 = 2,539.56/x
  3. Step 3: Cross multiply
    5,827.32x = 8,742.42 × 2,539.56
  4. Step 4: Simplify right side
    5,827.32x = 22,201,900.14
  5. Step 5: Solve for x
    x = 22,201,900.14/5,827.32
  6. Step 6: Final answer
    x = 3,809.97

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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.