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Finding the Fourth Proportional to 5,739.66, 8,595.64 and 3,266.98

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Solution

The fourth proportional to 5,739.66, 8,595.64 and 3,266.98 is: 4,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.66 : 8,595.64 = 3,266.98 : x
  2. Step 2: Convert to fraction form
    5,739.66/8,595.64 = 3,266.98/x
  3. Step 3: Cross multiply
    5,739.66x = 8,595.64 × 3,266.98
  4. Step 4: Simplify right side
    5,739.66x = 28,081,783.97
  5. Step 5: Solve for x
    x = 28,081,783.97/5,739.66
  6. Step 6: Final answer
    x = 4,892.59

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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.