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Finding the Fourth Proportional to 4,199.77, 6,297.83 and 1,277.40

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Solution

The fourth proportional to 4,199.77, 6,297.83 and 1,277.40 is: 1,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.77 : 6,297.83 = 1,277.40 : x
  2. Step 2: Convert to fraction form
    4,199.77/6,297.83 = 1,277.40/x
  3. Step 3: Cross multiply
    4,199.77x = 6,297.83 × 1,277.40
  4. Step 4: Simplify right side
    4,199.77x = 8,044,833.89
  5. Step 5: Solve for x
    x = 8,044,833.89/4,199.77
  6. Step 6: Final answer
    x = 1,915.54

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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.