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Finding the Fourth Proportional to 3,662.04, 5,492.25 and 1,441.02

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Solution

The fourth proportional to 3,662.04, 5,492.25 and 1,441.02 is: 2,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.04 : 5,492.25 = 1,441.02 : x
  2. Step 2: Convert to fraction form
    3,662.04/5,492.25 = 1,441.02/x
  3. Step 3: Cross multiply
    3,662.04x = 5,492.25 × 1,441.02
  4. Step 4: Simplify right side
    3,662.04x = 7,914,442.10
  5. Step 5: Solve for x
    x = 7,914,442.10/3,662.04
  6. Step 6: Final answer
    x = 2,161.21

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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.