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Finding the Fourth Proportional to 3,748.56, 5,174.64 and 2,575.68

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Solution

The fourth proportional to 3,748.56, 5,174.64 and 2,575.68 is: 3,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.56 : 5,174.64 = 2,575.68 : x
  2. Step 2: Convert to fraction form
    3,748.56/5,174.64 = 2,575.68/x
  3. Step 3: Cross multiply
    3,748.56x = 5,174.64 × 2,575.68
  4. Step 4: Simplify right side
    3,748.56x = 13,328,216.76
  5. Step 5: Solve for x
    x = 13,328,216.76/3,748.56
  6. Step 6: Final answer
    x = 3,555.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.