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Finding the Fourth Proportional to 5,111.94, 7,057.98 and 3,914.82

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Solution

The fourth proportional to 5,111.94, 7,057.98 and 3,914.82 is: 5,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.94 : 7,057.98 = 3,914.82 : x
  2. Step 2: Convert to fraction form
    5,111.94/7,057.98 = 3,914.82/x
  3. Step 3: Cross multiply
    5,111.94x = 7,057.98 × 3,914.82
  4. Step 4: Simplify right side
    5,111.94x = 27,630,675.42
  5. Step 5: Solve for x
    x = 27,630,675.42/5,111.94
  6. Step 6: Final answer
    x = 5,405.12

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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.