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Finding the Fourth Proportional to 3,662.64, 5,492.97 and 1,199.25

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Solution

The fourth proportional to 3,662.64, 5,492.97 and 1,199.25 is: 1,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.64 : 5,492.97 = 1,199.25 : x
  2. Step 2: Convert to fraction form
    3,662.64/5,492.97 = 1,199.25/x
  3. Step 3: Cross multiply
    3,662.64x = 5,492.97 × 1,199.25
  4. Step 4: Simplify right side
    3,662.64x = 6,587,444.27
  5. Step 5: Solve for x
    x = 6,587,444.27/3,662.64
  6. Step 6: Final answer
    x = 1,798.55

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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.