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Finding the Fourth Proportional to 4,564.84, 6,850.09 and 2,922.56

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Solution

The fourth proportional to 4,564.84, 6,850.09 and 2,922.56 is: 4,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.84 : 6,850.09 = 2,922.56 : x
  2. Step 2: Convert to fraction form
    4,564.84/6,850.09 = 2,922.56/x
  3. Step 3: Cross multiply
    4,564.84x = 6,850.09 × 2,922.56
  4. Step 4: Simplify right side
    4,564.84x = 20,019,784.42
  5. Step 5: Solve for x
    x = 20,019,784.42/4,564.84
  6. Step 6: Final answer
    x = 4,385.65

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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.