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Finding the Fourth Proportional to 3,898.56, 5,380.14 and 2,130.12

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Solution

The fourth proportional to 3,898.56, 5,380.14 and 2,130.12 is: 2,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.56 : 5,380.14 = 2,130.12 : x
  2. Step 2: Convert to fraction form
    3,898.56/5,380.14 = 2,130.12/x
  3. Step 3: Cross multiply
    3,898.56x = 5,380.14 × 2,130.12
  4. Step 4: Simplify right side
    3,898.56x = 11,460,343.82
  5. Step 5: Solve for x
    x = 11,460,343.82/3,898.56
  6. Step 6: Final answer
    x = 2,939.64

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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.