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Finding the Fourth Proportional to 5,842.67, 8,764.01 and 3,106.03

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Solution

The fourth proportional to 5,842.67, 8,764.01 and 3,106.03 is: 4,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.67 : 8,764.01 = 3,106.03 : x
  2. Step 2: Convert to fraction form
    5,842.67/8,764.01 = 3,106.03/x
  3. Step 3: Cross multiply
    5,842.67x = 8,764.01 × 3,106.03
  4. Step 4: Simplify right side
    5,842.67x = 27,221,262.45
  5. Step 5: Solve for x
    x = 27,221,262.45/5,842.67
  6. Step 6: Final answer
    x = 4,659.05

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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.