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Finding the Fourth Proportional to 5,578.91, 7,688.75 and 5,418.98

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Solution

The fourth proportional to 5,578.91, 7,688.75 and 5,418.98 is: 7,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.91 : 7,688.75 = 5,418.98 : x
  2. Step 2: Convert to fraction form
    5,578.91/7,688.75 = 5,418.98/x
  3. Step 3: Cross multiply
    5,578.91x = 7,688.75 × 5,418.98
  4. Step 4: Simplify right side
    5,578.91x = 41,665,116.94
  5. Step 5: Solve for x
    x = 41,665,116.94/5,578.91
  6. Step 6: Final answer
    x = 7,468.33

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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.