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Finding the Fourth Proportional to 3,787.12, 5,678.87 and 1,321.63

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Solution

The fourth proportional to 3,787.12, 5,678.87 and 1,321.63 is: 1,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.12 : 5,678.87 = 1,321.63 : x
  2. Step 2: Convert to fraction form
    3,787.12/5,678.87 = 1,321.63/x
  3. Step 3: Cross multiply
    3,787.12x = 5,678.87 × 1,321.63
  4. Step 4: Simplify right side
    3,787.12x = 7,505,364.96
  5. Step 5: Solve for x
    x = 7,505,364.96/3,787.12
  6. Step 6: Final answer
    x = 1,981.81

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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.