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Finding the Fourth Proportional to 4,199.40, 6,300.14 and 1,277.73

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Solution

The fourth proportional to 4,199.40, 6,300.14 and 1,277.73 is: 1,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.40 : 6,300.14 = 1,277.73 : x
  2. Step 2: Convert to fraction form
    4,199.40/6,300.14 = 1,277.73/x
  3. Step 3: Cross multiply
    4,199.40x = 6,300.14 × 1,277.73
  4. Step 4: Simplify right side
    4,199.40x = 8,049,871.49
  5. Step 5: Solve for x
    x = 8,049,871.49/4,199.40
  6. Step 6: Final answer
    x = 1,916.91

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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.