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Finding the Fourth Proportional to 3,734.07, 5,603.14 and 3,146.31

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Solution

The fourth proportional to 3,734.07, 5,603.14 and 3,146.31 is: 4,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.07 : 5,603.14 = 3,146.31 : x
  2. Step 2: Convert to fraction form
    3,734.07/5,603.14 = 3,146.31/x
  3. Step 3: Cross multiply
    3,734.07x = 5,603.14 × 3,146.31
  4. Step 4: Simplify right side
    3,734.07x = 17,629,219.35
  5. Step 5: Solve for x
    x = 17,629,219.35/3,734.07
  6. Step 6: Final answer
    x = 4,721.19

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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.