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Finding the Fourth Proportional to 3,669, 5,503.50 and 2,522.04

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Solution

The fourth proportional to 3,669, 5,503.50 and 2,522.04 is: 3,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,503.50 = 2,522.04 : x
  2. Step 2: Convert to fraction form
    3,669/5,503.50 = 2,522.04/x
  3. Step 3: Cross multiply
    3,669x = 5,503.50 × 2,522.04
  4. Step 4: Simplify right side
    3,669x = 13,880,047.14
  5. Step 5: Solve for x
    x = 13,880,047.14/3,669
  6. Step 6: Final answer
    x = 3,783.06

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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.