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Finding the Fourth Proportional to 3,653.92, 5,029.74 and 3,187.36

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Solution

The fourth proportional to 3,653.92, 5,029.74 and 3,187.36 is: 4,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.92 : 5,029.74 = 3,187.36 : x
  2. Step 2: Convert to fraction form
    3,653.92/5,029.74 = 3,187.36/x
  3. Step 3: Cross multiply
    3,653.92x = 5,029.74 × 3,187.36
  4. Step 4: Simplify right side
    3,653.92x = 16,031,592.09
  5. Step 5: Solve for x
    x = 16,031,592.09/3,653.92
  6. Step 6: Final answer
    x = 4,387.50

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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.