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Finding the Fourth Proportional to 5,943.98, 8,909.94 and 2,045.90

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Solution

The fourth proportional to 5,943.98, 8,909.94 and 2,045.90 is: 3,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.98 : 8,909.94 = 2,045.90 : x
  2. Step 2: Convert to fraction form
    5,943.98/8,909.94 = 2,045.90/x
  3. Step 3: Cross multiply
    5,943.98x = 8,909.94 × 2,045.90
  4. Step 4: Simplify right side
    5,943.98x = 18,228,846.25
  5. Step 5: Solve for x
    x = 18,228,846.25/5,943.98
  6. Step 6: Final answer
    x = 3,066.77

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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.