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Finding the Fourth Proportional to 3,603.35, 4,969.38 and 3,074.14

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Solution

The fourth proportional to 3,603.35, 4,969.38 and 3,074.14 is: 4,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.35 : 4,969.38 = 3,074.14 : x
  2. Step 2: Convert to fraction form
    3,603.35/4,969.38 = 3,074.14/x
  3. Step 3: Cross multiply
    3,603.35x = 4,969.38 × 3,074.14
  4. Step 4: Simplify right side
    3,603.35x = 15,276,587.57
  5. Step 5: Solve for x
    x = 15,276,587.57/3,603.35
  6. Step 6: Final answer
    x = 4,239.55

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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.