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Finding the Fourth Proportional to 3,709.36, 5,107.26 and 3,148.72

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Solution

The fourth proportional to 3,709.36, 5,107.26 and 3,148.72 is: 4,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.36 : 5,107.26 = 3,148.72 : x
  2. Step 2: Convert to fraction form
    3,709.36/5,107.26 = 3,148.72/x
  3. Step 3: Cross multiply
    3,709.36x = 5,107.26 × 3,148.72
  4. Step 4: Simplify right side
    3,709.36x = 16,081,331.71
  5. Step 5: Solve for x
    x = 16,081,331.71/3,709.36
  6. Step 6: Final answer
    x = 4,335.34

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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.