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Finding the Fourth Proportional to 4,644.34, 6,957.70 and 2,561.22

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Solution

The fourth proportional to 4,644.34, 6,957.70 and 2,561.22 is: 3,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.34 : 6,957.70 = 2,561.22 : x
  2. Step 2: Convert to fraction form
    4,644.34/6,957.70 = 2,561.22/x
  3. Step 3: Cross multiply
    4,644.34x = 6,957.70 × 2,561.22
  4. Step 4: Simplify right side
    4,644.34x = 17,820,193.99
  5. Step 5: Solve for x
    x = 17,820,193.99/4,644.34
  6. Step 6: Final answer
    x = 3,836.97

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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.