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Finding the Fourth Proportional to 5,796.77, 8,695.84 and 1,846.64

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Solution

The fourth proportional to 5,796.77, 8,695.84 and 1,846.64 is: 2,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.77 : 8,695.84 = 1,846.64 : x
  2. Step 2: Convert to fraction form
    5,796.77/8,695.84 = 1,846.64/x
  3. Step 3: Cross multiply
    5,796.77x = 8,695.84 × 1,846.64
  4. Step 4: Simplify right side
    5,796.77x = 16,058,085.98
  5. Step 5: Solve for x
    x = 16,058,085.98/5,796.77
  6. Step 6: Final answer
    x = 2,770.18

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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.