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Finding the Fourth Proportional to 3,211.86, 4,430.82 and 2,267.82

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Solution

The fourth proportional to 3,211.86, 4,430.82 and 2,267.82 is: 3,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.86 : 4,430.82 = 2,267.82 : x
  2. Step 2: Convert to fraction form
    3,211.86/4,430.82 = 2,267.82/x
  3. Step 3: Cross multiply
    3,211.86x = 4,430.82 × 2,267.82
  4. Step 4: Simplify right side
    3,211.86x = 10,048,302.21
  5. Step 5: Solve for x
    x = 10,048,302.21/3,211.86
  6. Step 6: Final answer
    x = 3,128.50

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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.