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Finding the Fourth Proportional to 5,563.46, 7,677.51 and 3,205.82

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Solution

The fourth proportional to 5,563.46, 7,677.51 and 3,205.82 is: 4,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.46 : 7,677.51 = 3,205.82 : x
  2. Step 2: Convert to fraction form
    5,563.46/7,677.51 = 3,205.82/x
  3. Step 3: Cross multiply
    5,563.46x = 7,677.51 × 3,205.82
  4. Step 4: Simplify right side
    5,563.46x = 24,612,715.11
  5. Step 5: Solve for x
    x = 24,612,715.11/5,563.46
  6. Step 6: Final answer
    x = 4,423.99

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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.