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Finding the Fourth Proportional to 4,770.60, 6,578.85 and 3,651.57

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Solution

The fourth proportional to 4,770.60, 6,578.85 and 3,651.57 is: 5,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.60 : 6,578.85 = 3,651.57 : x
  2. Step 2: Convert to fraction form
    4,770.60/6,578.85 = 3,651.57/x
  3. Step 3: Cross multiply
    4,770.60x = 6,578.85 × 3,651.57
  4. Step 4: Simplify right side
    4,770.60x = 24,023,131.29
  5. Step 5: Solve for x
    x = 24,023,131.29/4,770.60
  6. Step 6: Final answer
    x = 5,035.66

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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.