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Finding the Fourth Proportional to 4,140.69, 5,713.02 and 2,880.33

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Solution

The fourth proportional to 4,140.69, 5,713.02 and 2,880.33 is: 3,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.69 : 5,713.02 = 2,880.33 : x
  2. Step 2: Convert to fraction form
    4,140.69/5,713.02 = 2,880.33/x
  3. Step 3: Cross multiply
    4,140.69x = 5,713.02 × 2,880.33
  4. Step 4: Simplify right side
    4,140.69x = 16,455,382.90
  5. Step 5: Solve for x
    x = 16,455,382.90/4,140.69
  6. Step 6: Final answer
    x = 3,974.07

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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.