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Finding the Fourth Proportional to 4,543.85, 6,815.93 and 1,257.19

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Solution

The fourth proportional to 4,543.85, 6,815.93 and 1,257.19 is: 1,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.85 : 6,815.93 = 1,257.19 : x
  2. Step 2: Convert to fraction form
    4,543.85/6,815.93 = 1,257.19/x
  3. Step 3: Cross multiply
    4,543.85x = 6,815.93 × 1,257.19
  4. Step 4: Simplify right side
    4,543.85x = 8,568,902.78
  5. Step 5: Solve for x
    x = 8,568,902.78/4,543.85
  6. Step 6: Final answer
    x = 1,885.83

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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.