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Finding the Fourth Proportional to 6,091.40, 9,134.40 and 2,805.50

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Solution

The fourth proportional to 6,091.40, 9,134.40 and 2,805.50 is: 4,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.40 : 9,134.40 = 2,805.50 : x
  2. Step 2: Convert to fraction form
    6,091.40/9,134.40 = 2,805.50/x
  3. Step 3: Cross multiply
    6,091.40x = 9,134.40 × 2,805.50
  4. Step 4: Simplify right side
    6,091.40x = 25,626,559.20
  5. Step 5: Solve for x
    x = 25,626,559.20/6,091.40
  6. Step 6: Final answer
    x = 4,207.01

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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.