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Finding the Fourth Proportional to 5,849.25, 8,773.84 and 1,903.78

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Solution

The fourth proportional to 5,849.25, 8,773.84 and 1,903.78 is: 2,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.25 : 8,773.84 = 1,903.78 : x
  2. Step 2: Convert to fraction form
    5,849.25/8,773.84 = 1,903.78/x
  3. Step 3: Cross multiply
    5,849.25x = 8,773.84 × 1,903.78
  4. Step 4: Simplify right side
    5,849.25x = 16,703,461.12
  5. Step 5: Solve for x
    x = 16,703,461.12/5,849.25
  6. Step 6: Final answer
    x = 2,855.66

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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.