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Finding the Fourth Proportional to 5,805.84, 8,001.26 and 4,311.40

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Solution

The fourth proportional to 5,805.84, 8,001.26 and 4,311.40 is: 5,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.84 : 8,001.26 = 4,311.40 : x
  2. Step 2: Convert to fraction form
    5,805.84/8,001.26 = 4,311.40/x
  3. Step 3: Cross multiply
    5,805.84x = 8,001.26 × 4,311.40
  4. Step 4: Simplify right side
    5,805.84x = 34,496,632.36
  5. Step 5: Solve for x
    x = 34,496,632.36/5,805.84
  6. Step 6: Final answer
    x = 5,941.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.