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Finding the Fourth Proportional to 4,782.96, 7,170.57 and 1,494.36

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Solution

The fourth proportional to 4,782.96, 7,170.57 and 1,494.36 is: 2,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.96 : 7,170.57 = 1,494.36 : x
  2. Step 2: Convert to fraction form
    4,782.96/7,170.57 = 1,494.36/x
  3. Step 3: Cross multiply
    4,782.96x = 7,170.57 × 1,494.36
  4. Step 4: Simplify right side
    4,782.96x = 10,715,412.99
  5. Step 5: Solve for x
    x = 10,715,412.99/4,782.96
  6. Step 6: Final answer
    x = 2,240.33

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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.