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Finding the Fourth Proportional to 3,605.84, 4,976.05 and 2,033.93

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Solution

The fourth proportional to 3,605.84, 4,976.05 and 2,033.93 is: 2,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.84 : 4,976.05 = 2,033.93 : x
  2. Step 2: Convert to fraction form
    3,605.84/4,976.05 = 2,033.93/x
  3. Step 3: Cross multiply
    3,605.84x = 4,976.05 × 2,033.93
  4. Step 4: Simplify right side
    3,605.84x = 10,120,937.38
  5. Step 5: Solve for x
    x = 10,120,937.38/3,605.84
  6. Step 6: Final answer
    x = 2,806.82

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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.