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Finding the Fourth Proportional to 4,200.58, 6,299.05 and 1,278.21

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Solution

The fourth proportional to 4,200.58, 6,299.05 and 1,278.21 is: 1,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.58 : 6,299.05 = 1,278.21 : x
  2. Step 2: Convert to fraction form
    4,200.58/6,299.05 = 1,278.21/x
  3. Step 3: Cross multiply
    4,200.58x = 6,299.05 × 1,278.21
  4. Step 4: Simplify right side
    4,200.58x = 8,051,508.70
  5. Step 5: Solve for x
    x = 8,051,508.70/4,200.58
  6. Step 6: Final answer
    x = 1,916.76

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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.