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Finding the Fourth Proportional to 3,384.08, 5,078.16 and 1,194.44

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Solution

The fourth proportional to 3,384.08, 5,078.16 and 1,194.44 is: 1,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.08 : 5,078.16 = 1,194.44 : x
  2. Step 2: Convert to fraction form
    3,384.08/5,078.16 = 1,194.44/x
  3. Step 3: Cross multiply
    3,384.08x = 5,078.16 × 1,194.44
  4. Step 4: Simplify right side
    3,384.08x = 6,065,557.43
  5. Step 5: Solve for x
    x = 6,065,557.43/3,384.08
  6. Step 6: Final answer
    x = 1,792.38

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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.