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Finding the Fourth Proportional to 2,936.57, 4,056.03 and 2,138.63

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Solution

The fourth proportional to 2,936.57, 4,056.03 and 2,138.63 is: 2,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.57 : 4,056.03 = 2,138.63 : x
  2. Step 2: Convert to fraction form
    2,936.57/4,056.03 = 2,138.63/x
  3. Step 3: Cross multiply
    2,936.57x = 4,056.03 × 2,138.63
  4. Step 4: Simplify right side
    2,936.57x = 8,674,327.16
  5. Step 5: Solve for x
    x = 8,674,327.16/2,936.57
  6. Step 6: Final answer
    x = 2,953.90

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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.