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Finding the Fourth Proportional to 3,835.31, 5,750.93 and 2,898.54

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Solution

The fourth proportional to 3,835.31, 5,750.93 and 2,898.54 is: 4,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.31 : 5,750.93 = 2,898.54 : x
  2. Step 2: Convert to fraction form
    3,835.31/5,750.93 = 2,898.54/x
  3. Step 3: Cross multiply
    3,835.31x = 5,750.93 × 2,898.54
  4. Step 4: Simplify right side
    3,835.31x = 16,669,286.15
  5. Step 5: Solve for x
    x = 16,669,286.15/3,835.31
  6. Step 6: Final answer
    x = 4,346.27

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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.