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Finding the Fourth Proportional to 5,855.84, 8,774.01 and 4,120.82

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Solution

The fourth proportional to 5,855.84, 8,774.01 and 4,120.82 is: 6,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.84 : 8,774.01 = 4,120.82 : x
  2. Step 2: Convert to fraction form
    5,855.84/8,774.01 = 4,120.82/x
  3. Step 3: Cross multiply
    5,855.84x = 8,774.01 × 4,120.82
  4. Step 4: Simplify right side
    5,855.84x = 36,156,115.89
  5. Step 5: Solve for x
    x = 36,156,115.89/5,855.84
  6. Step 6: Final answer
    x = 6,174.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.