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Finding the Fourth Proportional to 3,898.44, 5,380 and 2,130.12

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Solution

The fourth proportional to 3,898.44, 5,380 and 2,130.12 is: 2,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.44 : 5,380 = 2,130.12 : x
  2. Step 2: Convert to fraction form
    3,898.44/5,380 = 2,130.12/x
  3. Step 3: Cross multiply
    3,898.44x = 5,380 × 2,130.12
  4. Step 4: Simplify right side
    3,898.44x = 11,460,045.60
  5. Step 5: Solve for x
    x = 11,460,045.60/3,898.44
  6. Step 6: Final answer
    x = 2,939.65

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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.