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Finding the Fourth Proportional to 5,742.08, 7,924 and 3,257.92

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Solution

The fourth proportional to 5,742.08, 7,924 and 3,257.92 is: 4,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.08 : 7,924 = 3,257.92 : x
  2. Step 2: Convert to fraction form
    5,742.08/7,924 = 3,257.92/x
  3. Step 3: Cross multiply
    5,742.08x = 7,924 × 3,257.92
  4. Step 4: Simplify right side
    5,742.08x = 25,815,758.08
  5. Step 5: Solve for x
    x = 25,815,758.08/5,742.08
  6. Step 6: Final answer
    x = 4,495.89

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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.