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Finding the Fourth Proportional to 4,328.50, 5,969.93 and 3,133.66

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Solution

The fourth proportional to 4,328.50, 5,969.93 and 3,133.66 is: 4,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.50 : 5,969.93 = 3,133.66 : x
  2. Step 2: Convert to fraction form
    4,328.50/5,969.93 = 3,133.66/x
  3. Step 3: Cross multiply
    4,328.50x = 5,969.93 × 3,133.66
  4. Step 4: Simplify right side
    4,328.50x = 18,707,737.05
  5. Step 5: Solve for x
    x = 18,707,737.05/4,328.50
  6. Step 6: Final answer
    x = 4,321.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.