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Finding the Fourth Proportional to 5,578.58, 7,699.36 and 4,249.76

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Solution

The fourth proportional to 5,578.58, 7,699.36 and 4,249.76 is: 5,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.58 : 7,699.36 = 4,249.76 : x
  2. Step 2: Convert to fraction form
    5,578.58/7,699.36 = 4,249.76/x
  3. Step 3: Cross multiply
    5,578.58x = 7,699.36 × 4,249.76
  4. Step 4: Simplify right side
    5,578.58x = 32,720,432.15
  5. Step 5: Solve for x
    x = 32,720,432.15/5,578.58
  6. Step 6: Final answer
    x = 5,865.37

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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.