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Finding the Fourth Proportional to 4,577.90, 6,859.64 and 3,540.44

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Solution

The fourth proportional to 4,577.90, 6,859.64 and 3,540.44 is: 5,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.90 : 6,859.64 = 3,540.44 : x
  2. Step 2: Convert to fraction form
    4,577.90/6,859.64 = 3,540.44/x
  3. Step 3: Cross multiply
    4,577.90x = 6,859.64 × 3,540.44
  4. Step 4: Simplify right side
    4,577.90x = 24,286,169.84
  5. Step 5: Solve for x
    x = 24,286,169.84/4,577.90
  6. Step 6: Final answer
    x = 5,305.10

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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.