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Finding the Fourth Proportional to 4,199.85, 6,300.32 and 1,277.78

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Solution

The fourth proportional to 4,199.85, 6,300.32 and 1,277.78 is: 1,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.85 : 6,300.32 = 1,277.78 : x
  2. Step 2: Convert to fraction form
    4,199.85/6,300.32 = 1,277.78/x
  3. Step 3: Cross multiply
    4,199.85x = 6,300.32 × 1,277.78
  4. Step 4: Simplify right side
    4,199.85x = 8,050,385.00
  5. Step 5: Solve for x
    x = 8,050,385.00/4,199.85
  6. Step 6: Final answer
    x = 1,916.83

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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.