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Finding the Fourth Proportional to 4,774.52, 6,589.50 and 3,181.16

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Solution

The fourth proportional to 4,774.52, 6,589.50 and 3,181.16 is: 4,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.52 : 6,589.50 = 3,181.16 : x
  2. Step 2: Convert to fraction form
    4,774.52/6,589.50 = 3,181.16/x
  3. Step 3: Cross multiply
    4,774.52x = 6,589.50 × 3,181.16
  4. Step 4: Simplify right side
    4,774.52x = 20,962,253.82
  5. Step 5: Solve for x
    x = 20,962,253.82/4,774.52
  6. Step 6: Final answer
    x = 4,390.44

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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.