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Finding the Fourth Proportional to 4,474.42, 6,711.70 and 1,187.98

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Solution

The fourth proportional to 4,474.42, 6,711.70 and 1,187.98 is: 1,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.42 : 6,711.70 = 1,187.98 : x
  2. Step 2: Convert to fraction form
    4,474.42/6,711.70 = 1,187.98/x
  3. Step 3: Cross multiply
    4,474.42x = 6,711.70 × 1,187.98
  4. Step 4: Simplify right side
    4,474.42x = 7,973,365.37
  5. Step 5: Solve for x
    x = 7,973,365.37/4,474.42
  6. Step 6: Final answer
    x = 1,781.99

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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.