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Finding the Fourth Proportional to 3,605.71, 4,975.88 and 2,033.81

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Solution

The fourth proportional to 3,605.71, 4,975.88 and 2,033.81 is: 2,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.71 : 4,975.88 = 2,033.81 : x
  2. Step 2: Convert to fraction form
    3,605.71/4,975.88 = 2,033.81/x
  3. Step 3: Cross multiply
    3,605.71x = 4,975.88 × 2,033.81
  4. Step 4: Simplify right side
    3,605.71x = 10,119,969.62
  5. Step 5: Solve for x
    x = 10,119,969.62/3,605.71
  6. Step 6: Final answer
    x = 2,806.65

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Why These Related Problems?

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