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Finding the Fourth Proportional to 4,677.94, 7,012.86 and 2,211.49

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Solution

The fourth proportional to 4,677.94, 7,012.86 and 2,211.49 is: 3,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.94 : 7,012.86 = 2,211.49 : x
  2. Step 2: Convert to fraction form
    4,677.94/7,012.86 = 2,211.49/x
  3. Step 3: Cross multiply
    4,677.94x = 7,012.86 × 2,211.49
  4. Step 4: Simplify right side
    4,677.94x = 15,508,869.76
  5. Step 5: Solve for x
    x = 15,508,869.76/4,677.94
  6. Step 6: Final answer
    x = 3,315.32

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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.