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Finding the Fourth Proportional to 4,266.24, 6,397.02 and 1,343.76

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Solution

The fourth proportional to 4,266.24, 6,397.02 and 1,343.76 is: 2,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.24 : 6,397.02 = 1,343.76 : x
  2. Step 2: Convert to fraction form
    4,266.24/6,397.02 = 1,343.76/x
  3. Step 3: Cross multiply
    4,266.24x = 6,397.02 × 1,343.76
  4. Step 4: Simplify right side
    4,266.24x = 8,596,059.60
  5. Step 5: Solve for x
    x = 8,596,059.60/4,266.24
  6. Step 6: Final answer
    x = 2,014.90

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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.