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Finding the Fourth Proportional to 5,849.64, 8,773.11 and 3,349.98

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Solution

The fourth proportional to 5,849.64, 8,773.11 and 3,349.98 is: 5,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.64 : 8,773.11 = 3,349.98 : x
  2. Step 2: Convert to fraction form
    5,849.64/8,773.11 = 3,349.98/x
  3. Step 3: Cross multiply
    5,849.64x = 8,773.11 × 3,349.98
  4. Step 4: Simplify right side
    5,849.64x = 29,389,743.04
  5. Step 5: Solve for x
    x = 29,389,743.04/5,849.64
  6. Step 6: Final answer
    x = 5,024.20

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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.