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Finding the Fourth Proportional to 3,163.94, 4,713.43 and 3,021.78

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Solution

The fourth proportional to 3,163.94, 4,713.43 and 3,021.78 is: 4,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.94 : 4,713.43 = 3,021.78 : x
  2. Step 2: Convert to fraction form
    3,163.94/4,713.43 = 3,021.78/x
  3. Step 3: Cross multiply
    3,163.94x = 4,713.43 × 3,021.78
  4. Step 4: Simplify right side
    3,163.94x = 14,242,948.51
  5. Step 5: Solve for x
    x = 14,242,948.51/3,163.94
  6. Step 6: Final answer
    x = 4,501.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.