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Finding the Fourth Proportional to 5,943.60, 8,202.12 and 3,290.94

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Solution

The fourth proportional to 5,943.60, 8,202.12 and 3,290.94 is: 4,541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.60 : 8,202.12 = 3,290.94 : x
  2. Step 2: Convert to fraction form
    5,943.60/8,202.12 = 3,290.94/x
  3. Step 3: Cross multiply
    5,943.60x = 8,202.12 × 3,290.94
  4. Step 4: Simplify right side
    5,943.60x = 26,992,684.79
  5. Step 5: Solve for x
    x = 26,992,684.79/5,943.60
  6. Step 6: Final answer
    x = 4,541.47

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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.