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Finding the Fourth Proportional to 5,826.36, 8,724.26 and 5,345.22

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Solution

The fourth proportional to 5,826.36, 8,724.26 and 5,345.22 is: 8,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.36 : 8,724.26 = 5,345.22 : x
  2. Step 2: Convert to fraction form
    5,826.36/8,724.26 = 5,345.22/x
  3. Step 3: Cross multiply
    5,826.36x = 8,724.26 × 5,345.22
  4. Step 4: Simplify right side
    5,826.36x = 46,633,089.04
  5. Step 5: Solve for x
    x = 46,633,089.04/5,826.36
  6. Step 6: Final answer
    x = 8,003.81

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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.