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Finding the Fourth Proportional to 4,230.69, 6,346.64 and 1,309.22

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Solution

The fourth proportional to 4,230.69, 6,346.64 and 1,309.22 is: 1,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.69 : 6,346.64 = 1,309.22 : x
  2. Step 2: Convert to fraction form
    4,230.69/6,346.64 = 1,309.22/x
  3. Step 3: Cross multiply
    4,230.69x = 6,346.64 × 1,309.22
  4. Step 4: Simplify right side
    4,230.69x = 8,309,148.02
  5. Step 5: Solve for x
    x = 8,309,148.02/4,230.69
  6. Step 6: Final answer
    x = 1,964.02

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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.