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Finding the Fourth Proportional to 3,898.37, 5,379.81 and 2,130.14

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Solution

The fourth proportional to 3,898.37, 5,379.81 and 2,130.14 is: 2,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.37 : 5,379.81 = 2,130.14 : x
  2. Step 2: Convert to fraction form
    3,898.37/5,379.81 = 2,130.14/x
  3. Step 3: Cross multiply
    3,898.37x = 5,379.81 × 2,130.14
  4. Step 4: Simplify right side
    3,898.37x = 11,459,748.47
  5. Step 5: Solve for x
    x = 11,459,748.47/3,898.37
  6. Step 6: Final answer
    x = 2,939.63

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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.