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Finding the Fourth Proportional to 4,474.99, 6,711.98 and 1,188.34

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Solution

The fourth proportional to 4,474.99, 6,711.98 and 1,188.34 is: 1,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.99 : 6,711.98 = 1,188.34 : x
  2. Step 2: Convert to fraction form
    4,474.99/6,711.98 = 1,188.34/x
  3. Step 3: Cross multiply
    4,474.99x = 6,711.98 × 1,188.34
  4. Step 4: Simplify right side
    4,474.99x = 7,976,135.03
  5. Step 5: Solve for x
    x = 7,976,135.03/4,474.99
  6. Step 6: Final answer
    x = 1,782.38

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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.