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Finding the Fourth Proportional to 3,735.45, 5,597.01 and 2,270.16

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Solution

The fourth proportional to 3,735.45, 5,597.01 and 2,270.16 is: 3,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.45 : 5,597.01 = 2,270.16 : x
  2. Step 2: Convert to fraction form
    3,735.45/5,597.01 = 2,270.16/x
  3. Step 3: Cross multiply
    3,735.45x = 5,597.01 × 2,270.16
  4. Step 4: Simplify right side
    3,735.45x = 12,706,108.22
  5. Step 5: Solve for x
    x = 12,706,108.22/3,735.45
  6. Step 6: Final answer
    x = 3,401.49

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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.