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Finding the Fourth Proportional to 3,577.69, 4,938.57 and 2,255.25

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Solution

The fourth proportional to 3,577.69, 4,938.57 and 2,255.25 is: 3,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.69 : 4,938.57 = 2,255.25 : x
  2. Step 2: Convert to fraction form
    3,577.69/4,938.57 = 2,255.25/x
  3. Step 3: Cross multiply
    3,577.69x = 4,938.57 × 2,255.25
  4. Step 4: Simplify right side
    3,577.69x = 11,137,709.99
  5. Step 5: Solve for x
    x = 11,137,709.99/3,577.69
  6. Step 6: Final answer
    x = 3,113.10

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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.