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Finding the Fourth Proportional to 5,188.99, 7,783.44 and 2,414.11

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Solution

The fourth proportional to 5,188.99, 7,783.44 and 2,414.11 is: 3,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.99 : 7,783.44 = 2,414.11 : x
  2. Step 2: Convert to fraction form
    5,188.99/7,783.44 = 2,414.11/x
  3. Step 3: Cross multiply
    5,188.99x = 7,783.44 × 2,414.11
  4. Step 4: Simplify right side
    5,188.99x = 18,790,080.34
  5. Step 5: Solve for x
    x = 18,790,080.34/5,188.99
  6. Step 6: Final answer
    x = 3,621.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.