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Finding the Fourth Proportional to 3,902.87, 5,386.05 and 2,134.48

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Solution

The fourth proportional to 3,902.87, 5,386.05 and 2,134.48 is: 2,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.87 : 5,386.05 = 2,134.48 : x
  2. Step 2: Convert to fraction form
    3,902.87/5,386.05 = 2,134.48/x
  3. Step 3: Cross multiply
    3,902.87x = 5,386.05 × 2,134.48
  4. Step 4: Simplify right side
    3,902.87x = 11,496,416.00
  5. Step 5: Solve for x
    x = 11,496,416.00/3,902.87
  6. Step 6: Final answer
    x = 2,945.63

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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.