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Finding the Fourth Proportional to 3,889.14, 5,828.82 and 1,665.35

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Solution

The fourth proportional to 3,889.14, 5,828.82 and 1,665.35 is: 2,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.14 : 5,828.82 = 1,665.35 : x
  2. Step 2: Convert to fraction form
    3,889.14/5,828.82 = 1,665.35/x
  3. Step 3: Cross multiply
    3,889.14x = 5,828.82 × 1,665.35
  4. Step 4: Simplify right side
    3,889.14x = 9,707,025.39
  5. Step 5: Solve for x
    x = 9,707,025.39/3,889.14
  6. Step 6: Final answer
    x = 2,495.93

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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.