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Finding the Fourth Proportional to 3,890.34, 5,835.42 and 1,293.30

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Solution

The fourth proportional to 3,890.34, 5,835.42 and 1,293.30 is: 1,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.34 : 5,835.42 = 1,293.30 : x
  2. Step 2: Convert to fraction form
    3,890.34/5,835.42 = 1,293.30/x
  3. Step 3: Cross multiply
    3,890.34x = 5,835.42 × 1,293.30
  4. Step 4: Simplify right side
    3,890.34x = 7,546,948.69
  5. Step 5: Solve for x
    x = 7,546,948.69/3,890.34
  6. Step 6: Final answer
    x = 1,939.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.