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Finding the Fourth Proportional to 5,969.60, 8,239.64 and 3,730.08

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Solution

The fourth proportional to 5,969.60, 8,239.64 and 3,730.08 is: 5,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.60 : 8,239.64 = 3,730.08 : x
  2. Step 2: Convert to fraction form
    5,969.60/8,239.64 = 3,730.08/x
  3. Step 3: Cross multiply
    5,969.60x = 8,239.64 × 3,730.08
  4. Step 4: Simplify right side
    5,969.60x = 30,734,516.37
  5. Step 5: Solve for x
    x = 30,734,516.37/5,969.60
  6. Step 6: Final answer
    x = 5,148.51

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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.