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Finding the Fourth Proportional to 5,172.26, 7,745.63 and 2,974.32

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Solution

The fourth proportional to 5,172.26, 7,745.63 and 2,974.32 is: 4,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.26 : 7,745.63 = 2,974.32 : x
  2. Step 2: Convert to fraction form
    5,172.26/7,745.63 = 2,974.32/x
  3. Step 3: Cross multiply
    5,172.26x = 7,745.63 × 2,974.32
  4. Step 4: Simplify right side
    5,172.26x = 23,037,967.35
  5. Step 5: Solve for x
    x = 23,037,967.35/5,172.26
  6. Step 6: Final answer
    x = 4,454.14

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1.5x scale

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.