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Finding the Fourth Proportional to 4,336.31, 5,984.10 and 2,346.87

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Solution

The fourth proportional to 4,336.31, 5,984.10 and 2,346.87 is: 3,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.31 : 5,984.10 = 2,346.87 : x
  2. Step 2: Convert to fraction form
    4,336.31/5,984.10 = 2,346.87/x
  3. Step 3: Cross multiply
    4,336.31x = 5,984.10 × 2,346.87
  4. Step 4: Simplify right side
    4,336.31x = 14,043,893.55
  5. Step 5: Solve for x
    x = 14,043,893.55/4,336.31
  6. Step 6: Final answer
    x = 3,238.67

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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.