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Finding the Fourth Proportional to 4,699.22, 7,046.57 and 1,578.36

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Solution

The fourth proportional to 4,699.22, 7,046.57 and 1,578.36 is: 2,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.22 : 7,046.57 = 1,578.36 : x
  2. Step 2: Convert to fraction form
    4,699.22/7,046.57 = 1,578.36/x
  3. Step 3: Cross multiply
    4,699.22x = 7,046.57 × 1,578.36
  4. Step 4: Simplify right side
    4,699.22x = 11,121,992.94
  5. Step 5: Solve for x
    x = 11,121,992.94/4,699.22
  6. Step 6: Final answer
    x = 2,366.78

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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.