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Finding the Fourth Proportional to 3,566.84, 4,920.95 and 2,074.21

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Solution

The fourth proportional to 3,566.84, 4,920.95 and 2,074.21 is: 2,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.84 : 4,920.95 = 2,074.21 : x
  2. Step 2: Convert to fraction form
    3,566.84/4,920.95 = 2,074.21/x
  3. Step 3: Cross multiply
    3,566.84x = 4,920.95 × 2,074.21
  4. Step 4: Simplify right side
    3,566.84x = 10,207,076.58
  5. Step 5: Solve for x
    x = 10,207,076.58/3,566.84
  6. Step 6: Final answer
    x = 2,861.66

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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.