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Finding the Fourth Proportional to 3,566.62, 4,920.72 and 2,149.77

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Solution

The fourth proportional to 3,566.62, 4,920.72 and 2,149.77 is: 2,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.62 : 4,920.72 = 2,149.77 : x
  2. Step 2: Convert to fraction form
    3,566.62/4,920.72 = 2,149.77/x
  3. Step 3: Cross multiply
    3,566.62x = 4,920.72 × 2,149.77
  4. Step 4: Simplify right side
    3,566.62x = 10,578,416.23
  5. Step 5: Solve for x
    x = 10,578,416.23/3,566.62
  6. Step 6: Final answer
    x = 2,965.95

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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.