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Finding the Fourth Proportional to 4,230.98, 6,346.46 and 1,068.43

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Solution

The fourth proportional to 4,230.98, 6,346.46 and 1,068.43 is: 1,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.98 : 6,346.46 = 1,068.43 : x
  2. Step 2: Convert to fraction form
    4,230.98/6,346.46 = 1,068.43/x
  3. Step 3: Cross multiply
    4,230.98x = 6,346.46 × 1,068.43
  4. Step 4: Simplify right side
    4,230.98x = 6,780,739.54
  5. Step 5: Solve for x
    x = 6,780,739.54/4,230.98
  6. Step 6: Final answer
    x = 1,602.64

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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.