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Finding the Fourth Proportional to 5,796.96, 8,695.38 and 1,848.63

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Solution

The fourth proportional to 5,796.96, 8,695.38 and 1,848.63 is: 2,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.96 : 8,695.38 = 1,848.63 : x
  2. Step 2: Convert to fraction form
    5,796.96/8,695.38 = 1,848.63/x
  3. Step 3: Cross multiply
    5,796.96x = 8,695.38 × 1,848.63
  4. Step 4: Simplify right side
    5,796.96x = 16,074,540.33
  5. Step 5: Solve for x
    x = 16,074,540.33/5,796.96
  6. Step 6: Final answer
    x = 2,772.93

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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.