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Finding the Fourth Proportional to 5,431.98, 8,134.17 and 4,552.17

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Solution

The fourth proportional to 5,431.98, 8,134.17 and 4,552.17 is: 6,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.98 : 8,134.17 = 4,552.17 : x
  2. Step 2: Convert to fraction form
    5,431.98/8,134.17 = 4,552.17/x
  3. Step 3: Cross multiply
    5,431.98x = 8,134.17 × 4,552.17
  4. Step 4: Simplify right side
    5,431.98x = 37,028,124.65
  5. Step 5: Solve for x
    x = 37,028,124.65/5,431.98
  6. Step 6: Final answer
    x = 6,816.69

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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.