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Finding the Fourth Proportional to 3,787.68, 5,674.16 and 2,139.12

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Solution

The fourth proportional to 3,787.68, 5,674.16 and 2,139.12 is: 3,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.68 : 5,674.16 = 2,139.12 : x
  2. Step 2: Convert to fraction form
    3,787.68/5,674.16 = 2,139.12/x
  3. Step 3: Cross multiply
    3,787.68x = 5,674.16 × 2,139.12
  4. Step 4: Simplify right side
    3,787.68x = 12,137,709.14
  5. Step 5: Solve for x
    x = 12,137,709.14/3,787.68
  6. Step 6: Final answer
    x = 3,204.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.