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Finding the Fourth Proportional to 3,898.94, 5,380.63 and 2,130.50

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Solution

The fourth proportional to 3,898.94, 5,380.63 and 2,130.50 is: 2,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.94 : 5,380.63 = 2,130.50 : x
  2. Step 2: Convert to fraction form
    3,898.94/5,380.63 = 2,130.50/x
  3. Step 3: Cross multiply
    3,898.94x = 5,380.63 × 2,130.50
  4. Step 4: Simplify right side
    3,898.94x = 11,463,440.34
  5. Step 5: Solve for x
    x = 11,463,440.34/3,898.94
  6. Step 6: Final answer
    x = 2,940.15

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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.