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Finding the Fourth Proportional to 5,759.79, 8,642.11 and 2,838.12

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Solution

The fourth proportional to 5,759.79, 8,642.11 and 2,838.12 is: 4,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.79 : 8,642.11 = 2,838.12 : x
  2. Step 2: Convert to fraction form
    5,759.79/8,642.11 = 2,838.12/x
  3. Step 3: Cross multiply
    5,759.79x = 8,642.11 × 2,838.12
  4. Step 4: Simplify right side
    5,759.79x = 24,527,345.23
  5. Step 5: Solve for x
    x = 24,527,345.23/5,759.79
  6. Step 6: Final answer
    x = 4,258.37

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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.