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Finding the Fourth Proportional to 5,755.36, 7,955.04 and 4,194.40

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Solution

The fourth proportional to 5,755.36, 7,955.04 and 4,194.40 is: 5,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.36 : 7,955.04 = 4,194.40 : x
  2. Step 2: Convert to fraction form
    5,755.36/7,955.04 = 4,194.40/x
  3. Step 3: Cross multiply
    5,755.36x = 7,955.04 × 4,194.40
  4. Step 4: Simplify right side
    5,755.36x = 33,366,619.78
  5. Step 5: Solve for x
    x = 33,366,619.78/5,755.36
  6. Step 6: Final answer
    x = 5,797.49

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1.5x scale

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.