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Finding the Fourth Proportional to 3,211.63, 4,432.14 and 1,795.28

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Solution

The fourth proportional to 3,211.63, 4,432.14 and 1,795.28 is: 2,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.63 : 4,432.14 = 1,795.28 : x
  2. Step 2: Convert to fraction form
    3,211.63/4,432.14 = 1,795.28/x
  3. Step 3: Cross multiply
    3,211.63x = 4,432.14 × 1,795.28
  4. Step 4: Simplify right side
    3,211.63x = 7,956,910.14
  5. Step 5: Solve for x
    x = 7,956,910.14/3,211.63
  6. Step 6: Final answer
    x = 2,477.53

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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.