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Finding the Fourth Proportional to 5,738.85, 8,609.29 and 2,041.00

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Solution

The fourth proportional to 5,738.85, 8,609.29 and 2,041.00 is: 3,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.85 : 8,609.29 = 2,041.00 : x
  2. Step 2: Convert to fraction form
    5,738.85/8,609.29 = 2,041.00/x
  3. Step 3: Cross multiply
    5,738.85x = 8,609.29 × 2,041.00
  4. Step 4: Simplify right side
    5,738.85x = 17,571,534.26
  5. Step 5: Solve for x
    x = 17,571,534.26/5,738.85
  6. Step 6: Final answer
    x = 3,061.86

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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.