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Finding the Fourth Proportional to 4,230, 6,343.92 and 1,308.24

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Solution

The fourth proportional to 4,230, 6,343.92 and 1,308.24 is: 1,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230 : 6,343.92 = 1,308.24 : x
  2. Step 2: Convert to fraction form
    4,230/6,343.92 = 1,308.24/x
  3. Step 3: Cross multiply
    4,230x = 6,343.92 × 1,308.24
  4. Step 4: Simplify right side
    4,230x = 8,299,369.90
  5. Step 5: Solve for x
    x = 8,299,369.90/4,230
  6. Step 6: Final answer
    x = 1,962.03

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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.