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Finding the Fourth Proportional to 3,004.36, 4,146.24 and 1,745.84

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Solution

The fourth proportional to 3,004.36, 4,146.24 and 1,745.84 is: 2,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.36 : 4,146.24 = 1,745.84 : x
  2. Step 2: Convert to fraction form
    3,004.36/4,146.24 = 1,745.84/x
  3. Step 3: Cross multiply
    3,004.36x = 4,146.24 × 1,745.84
  4. Step 4: Simplify right side
    3,004.36x = 7,238,671.64
  5. Step 5: Solve for x
    x = 7,238,671.64/3,004.36
  6. Step 6: Final answer
    x = 2,409.39

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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.