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Finding the Fourth Proportional to 5,108.69, 7,046.78 and 3,216.99

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Solution

The fourth proportional to 5,108.69, 7,046.78 and 3,216.99 is: 4,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.69 : 7,046.78 = 3,216.99 : x
  2. Step 2: Convert to fraction form
    5,108.69/7,046.78 = 3,216.99/x
  3. Step 3: Cross multiply
    5,108.69x = 7,046.78 × 3,216.99
  4. Step 4: Simplify right side
    5,108.69x = 22,669,404.71
  5. Step 5: Solve for x
    x = 22,669,404.71/5,108.69
  6. Step 6: Final answer
    x = 4,437.42

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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.