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Finding the Fourth Proportional to 3,798.36, 5,697.54 and 1,201.52

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Solution

The fourth proportional to 3,798.36, 5,697.54 and 1,201.52 is: 1,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.36 : 5,697.54 = 1,201.52 : x
  2. Step 2: Convert to fraction form
    3,798.36/5,697.54 = 1,201.52/x
  3. Step 3: Cross multiply
    3,798.36x = 5,697.54 × 1,201.52
  4. Step 4: Simplify right side
    3,798.36x = 6,845,708.26
  5. Step 5: Solve for x
    x = 6,845,708.26/3,798.36
  6. Step 6: Final answer
    x = 1,802.28

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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.