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Finding the Fourth Proportional to 4,566.84, 6,850.64 and 2,069.56

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Solution

The fourth proportional to 4,566.84, 6,850.64 and 2,069.56 is: 3,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.84 : 6,850.64 = 2,069.56 : x
  2. Step 2: Convert to fraction form
    4,566.84/6,850.64 = 2,069.56/x
  3. Step 3: Cross multiply
    4,566.84x = 6,850.64 × 2,069.56
  4. Step 4: Simplify right side
    4,566.84x = 14,177,810.52
  5. Step 5: Solve for x
    x = 14,177,810.52/4,566.84
  6. Step 6: Final answer
    x = 3,104.51

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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.