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Finding the Fourth Proportional to 3,798.14, 5,696.19 and 1,605.47

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Solution

The fourth proportional to 3,798.14, 5,696.19 and 1,605.47 is: 2,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.14 : 5,696.19 = 1,605.47 : x
  2. Step 2: Convert to fraction form
    3,798.14/5,696.19 = 1,605.47/x
  3. Step 3: Cross multiply
    3,798.14x = 5,696.19 × 1,605.47
  4. Step 4: Simplify right side
    3,798.14x = 9,145,033.68
  5. Step 5: Solve for x
    x = 9,145,033.68/3,798.14
  6. Step 6: Final answer
    x = 2,407.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.