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Finding the Fourth Proportional to 3,174.56, 4,752.84 and 2,782.48

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Solution

The fourth proportional to 3,174.56, 4,752.84 and 2,782.48 is: 4,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.56 : 4,752.84 = 2,782.48 : x
  2. Step 2: Convert to fraction form
    3,174.56/4,752.84 = 2,782.48/x
  3. Step 3: Cross multiply
    3,174.56x = 4,752.84 × 2,782.48
  4. Step 4: Simplify right side
    3,174.56x = 13,224,682.24
  5. Step 5: Solve for x
    x = 13,224,682.24/3,174.56
  6. Step 6: Final answer
    x = 4,165.83

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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.