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Finding the Fourth Proportional to 3,703.92, 5,111.64 and 3,237.36

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Solution

The fourth proportional to 3,703.92, 5,111.64 and 3,237.36 is: 4,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.92 : 5,111.64 = 3,237.36 : x
  2. Step 2: Convert to fraction form
    3,703.92/5,111.64 = 3,237.36/x
  3. Step 3: Cross multiply
    3,703.92x = 5,111.64 × 3,237.36
  4. Step 4: Simplify right side
    3,703.92x = 16,548,218.87
  5. Step 5: Solve for x
    x = 16,548,218.87/3,703.92
  6. Step 6: Final answer
    x = 4,467.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.