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Finding the Fourth Proportional to 4,194.40, 6,291.60 and 2,941.60

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Solution

The fourth proportional to 4,194.40, 6,291.60 and 2,941.60 is: 4,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.40 : 6,291.60 = 2,941.60 : x
  2. Step 2: Convert to fraction form
    4,194.40/6,291.60 = 2,941.60/x
  3. Step 3: Cross multiply
    4,194.40x = 6,291.60 × 2,941.60
  4. Step 4: Simplify right side
    4,194.40x = 18,507,370.56
  5. Step 5: Solve for x
    x = 18,507,370.56/4,194.40
  6. Step 6: Final answer
    x = 4,412.40

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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.