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Finding the Fourth Proportional to 3,905.94, 5,853.63 and 1,438.44

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Solution

The fourth proportional to 3,905.94, 5,853.63 and 1,438.44 is: 2,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.94 : 5,853.63 = 1,438.44 : x
  2. Step 2: Convert to fraction form
    3,905.94/5,853.63 = 1,438.44/x
  3. Step 3: Cross multiply
    3,905.94x = 5,853.63 × 1,438.44
  4. Step 4: Simplify right side
    3,905.94x = 8,420,095.54
  5. Step 5: Solve for x
    x = 8,420,095.54/3,905.94
  6. Step 6: Final answer
    x = 2,155.72

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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.