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Finding the Fourth Proportional to 5,264.85, 7,893.23 and 3,184.37

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Solution

The fourth proportional to 5,264.85, 7,893.23 and 3,184.37 is: 4,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.85 : 7,893.23 = 3,184.37 : x
  2. Step 2: Convert to fraction form
    5,264.85/7,893.23 = 3,184.37/x
  3. Step 3: Cross multiply
    5,264.85x = 7,893.23 × 3,184.37
  4. Step 4: Simplify right side
    5,264.85x = 25,134,964.82
  5. Step 5: Solve for x
    x = 25,134,964.82/5,264.85
  6. Step 6: Final answer
    x = 4,774.11

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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.