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Finding the Fourth Proportional to 3,755.60, 5,633.40 and 3,172.40

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Solution

The fourth proportional to 3,755.60, 5,633.40 and 3,172.40 is: 4,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.60 : 5,633.40 = 3,172.40 : x
  2. Step 2: Convert to fraction form
    3,755.60/5,633.40 = 3,172.40/x
  3. Step 3: Cross multiply
    3,755.60x = 5,633.40 × 3,172.40
  4. Step 4: Simplify right side
    3,755.60x = 17,871,398.16
  5. Step 5: Solve for x
    x = 17,871,398.16/3,755.60
  6. Step 6: Final answer
    x = 4,758.60

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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.