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Finding the Fourth Proportional to 3,661.47, 5,492.30 and 1,196.43

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Solution

The fourth proportional to 3,661.47, 5,492.30 and 1,196.43 is: 1,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.47 : 5,492.30 = 1,196.43 : x
  2. Step 2: Convert to fraction form
    3,661.47/5,492.30 = 1,196.43/x
  3. Step 3: Cross multiply
    3,661.47x = 5,492.30 × 1,196.43
  4. Step 4: Simplify right side
    3,661.47x = 6,571,152.49
  5. Step 5: Solve for x
    x = 6,571,152.49/3,661.47
  6. Step 6: Final answer
    x = 1,794.68

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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.