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Finding the Fourth Proportional to 4,679.76, 6,459.08 and 3,191.23

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Solution

The fourth proportional to 4,679.76, 6,459.08 and 3,191.23 is: 4,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.76 : 6,459.08 = 3,191.23 : x
  2. Step 2: Convert to fraction form
    4,679.76/6,459.08 = 3,191.23/x
  3. Step 3: Cross multiply
    4,679.76x = 6,459.08 × 3,191.23
  4. Step 4: Simplify right side
    4,679.76x = 20,612,409.87
  5. Step 5: Solve for x
    x = 20,612,409.87/4,679.76
  6. Step 6: Final answer
    x = 4,404.59

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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.