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Finding the Fourth Proportional to 5,578.77, 7,699.31 and 3,564.04

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Solution

The fourth proportional to 5,578.77, 7,699.31 and 3,564.04 is: 4,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.77 : 7,699.31 = 3,564.04 : x
  2. Step 2: Convert to fraction form
    5,578.77/7,699.31 = 3,564.04/x
  3. Step 3: Cross multiply
    5,578.77x = 7,699.31 × 3,564.04
  4. Step 4: Simplify right side
    5,578.77x = 27,440,625.11
  5. Step 5: Solve for x
    x = 27,440,625.11/5,578.77
  6. Step 6: Final answer
    x = 4,918.76

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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.