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Finding the Fourth Proportional to 6,211.74, 8,572.83 and 3,559.50

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Solution

The fourth proportional to 6,211.74, 8,572.83 and 3,559.50 is: 4,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.74 : 8,572.83 = 3,559.50 : x
  2. Step 2: Convert to fraction form
    6,211.74/8,572.83 = 3,559.50/x
  3. Step 3: Cross multiply
    6,211.74x = 8,572.83 × 3,559.50
  4. Step 4: Simplify right side
    6,211.74x = 30,514,988.39
  5. Step 5: Solve for x
    x = 30,514,988.39/6,211.74
  6. Step 6: Final answer
    x = 4,912.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.