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Finding the Fourth Proportional to 5,111.66, 7,051.22 and 3,219.99

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Solution

The fourth proportional to 5,111.66, 7,051.22 and 3,219.99 is: 4,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.66 : 7,051.22 = 3,219.99 : x
  2. Step 2: Convert to fraction form
    5,111.66/7,051.22 = 3,219.99/x
  3. Step 3: Cross multiply
    5,111.66x = 7,051.22 × 3,219.99
  4. Step 4: Simplify right side
    5,111.66x = 22,704,841.79
  5. Step 5: Solve for x
    x = 22,704,841.79/5,111.66
  6. Step 6: Final answer
    x = 4,441.78

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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.