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Finding the Fourth Proportional to 5,769, 8,657.34 and 2,121

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Solution

The fourth proportional to 5,769, 8,657.34 and 2,121 is: 3,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769 : 8,657.34 = 2,121 : x
  2. Step 2: Convert to fraction form
    5,769/8,657.34 = 2,121/x
  3. Step 3: Cross multiply
    5,769x = 8,657.34 × 2,121
  4. Step 4: Simplify right side
    5,769x = 18,362,218.14
  5. Step 5: Solve for x
    x = 18,362,218.14/5,769
  6. Step 6: Final answer
    x = 3,182.91

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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.