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Finding the Fourth Proportional to 4,577.80, 6,866.22 and 2,385.64

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Solution

The fourth proportional to 4,577.80, 6,866.22 and 2,385.64 is: 3,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.80 : 6,866.22 = 2,385.64 : x
  2. Step 2: Convert to fraction form
    4,577.80/6,866.22 = 2,385.64/x
  3. Step 3: Cross multiply
    4,577.80x = 6,866.22 × 2,385.64
  4. Step 4: Simplify right side
    4,577.80x = 16,380,329.08
  5. Step 5: Solve for x
    x = 16,380,329.08/4,577.80
  6. Step 6: Final answer
    x = 3,578.21

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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.