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Finding the Fourth Proportional to 3,805.49, 5,708.36 and 1,032.16

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Solution

The fourth proportional to 3,805.49, 5,708.36 and 1,032.16 is: 1,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.49 : 5,708.36 = 1,032.16 : x
  2. Step 2: Convert to fraction form
    3,805.49/5,708.36 = 1,032.16/x
  3. Step 3: Cross multiply
    3,805.49x = 5,708.36 × 1,032.16
  4. Step 4: Simplify right side
    3,805.49x = 5,891,940.86
  5. Step 5: Solve for x
    x = 5,891,940.86/3,805.49
  6. Step 6: Final answer
    x = 1,548.27

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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.