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Finding the Fourth Proportional to 4,226.76, 6,340.14 and 1,148.76

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Solution

The fourth proportional to 4,226.76, 6,340.14 and 1,148.76 is: 1,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.76 : 6,340.14 = 1,148.76 : x
  2. Step 2: Convert to fraction form
    4,226.76/6,340.14 = 1,148.76/x
  3. Step 3: Cross multiply
    4,226.76x = 6,340.14 × 1,148.76
  4. Step 4: Simplify right side
    4,226.76x = 7,283,299.23
  5. Step 5: Solve for x
    x = 7,283,299.23/4,226.76
  6. Step 6: Final answer
    x = 1,723.14

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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.