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Finding the Fourth Proportional to 4,571.65, 6,857.73 and 1,284.48

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Solution

The fourth proportional to 4,571.65, 6,857.73 and 1,284.48 is: 1,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.65 : 6,857.73 = 1,284.48 : x
  2. Step 2: Convert to fraction form
    4,571.65/6,857.73 = 1,284.48/x
  3. Step 3: Cross multiply
    4,571.65x = 6,857.73 × 1,284.48
  4. Step 4: Simplify right side
    4,571.65x = 8,808,617.03
  5. Step 5: Solve for x
    x = 8,808,617.03/4,571.65
  6. Step 6: Final answer
    x = 1,926.79

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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.