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Finding the Fourth Proportional to 3,898.40, 5,379.89 and 2,130.11

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Solution

The fourth proportional to 3,898.40, 5,379.89 and 2,130.11 is: 2,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.40 : 5,379.89 = 2,130.11 : x
  2. Step 2: Convert to fraction form
    3,898.40/5,379.89 = 2,130.11/x
  3. Step 3: Cross multiply
    3,898.40x = 5,379.89 × 2,130.11
  4. Step 4: Simplify right side
    3,898.40x = 11,459,719.94
  5. Step 5: Solve for x
    x = 11,459,719.94/3,898.40
  6. Step 6: Final answer
    x = 2,939.60

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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.