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Finding the Fourth Proportional to 3,564.54, 5,344.83 and 2,577.74

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Solution

The fourth proportional to 3,564.54, 5,344.83 and 2,577.74 is: 3,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.54 : 5,344.83 = 2,577.74 : x
  2. Step 2: Convert to fraction form
    3,564.54/5,344.83 = 2,577.74/x
  3. Step 3: Cross multiply
    3,564.54x = 5,344.83 × 2,577.74
  4. Step 4: Simplify right side
    3,564.54x = 13,777,555.36
  5. Step 5: Solve for x
    x = 13,777,555.36/3,564.54
  6. Step 6: Final answer
    x = 3,865.17

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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.