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Finding the Fourth Proportional to 3,603.22, 4,969.21 and 3,074.01

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Solution

The fourth proportional to 3,603.22, 4,969.21 and 3,074.01 is: 4,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.22 : 4,969.21 = 3,074.01 : x
  2. Step 2: Convert to fraction form
    3,603.22/4,969.21 = 3,074.01/x
  3. Step 3: Cross multiply
    3,603.22x = 4,969.21 × 3,074.01
  4. Step 4: Simplify right side
    3,603.22x = 15,275,401.23
  5. Step 5: Solve for x
    x = 15,275,401.23/3,603.22
  6. Step 6: Final answer
    x = 4,239.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.