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Finding the Fourth Proportional to 3,898.58, 5,380.11 and 2,130.17

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Solution

The fourth proportional to 3,898.58, 5,380.11 and 2,130.17 is: 2,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.58 : 5,380.11 = 2,130.17 : x
  2. Step 2: Convert to fraction form
    3,898.58/5,380.11 = 2,130.17/x
  3. Step 3: Cross multiply
    3,898.58x = 5,380.11 × 2,130.17
  4. Step 4: Simplify right side
    3,898.58x = 11,460,522.02
  5. Step 5: Solve for x
    x = 11,460,522.02/3,898.58
  6. Step 6: Final answer
    x = 2,939.67

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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.