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Finding the Fourth Proportional to 5,748.84, 7,932.06 and 4,174.20

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Solution

The fourth proportional to 5,748.84, 7,932.06 and 4,174.20 is: 5,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.84 : 7,932.06 = 4,174.20 : x
  2. Step 2: Convert to fraction form
    5,748.84/7,932.06 = 4,174.20/x
  3. Step 3: Cross multiply
    5,748.84x = 7,932.06 × 4,174.20
  4. Step 4: Simplify right side
    5,748.84x = 33,110,004.85
  5. Step 5: Solve for x
    x = 33,110,004.85/5,748.84
  6. Step 6: Final answer
    x = 5,759.42

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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.