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Finding the Fourth Proportional to 5,738.08, 7,910.64 and 4,319.20

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Solution

The fourth proportional to 5,738.08, 7,910.64 and 4,319.20 is: 5,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.08 : 7,910.64 = 4,319.20 : x
  2. Step 2: Convert to fraction form
    5,738.08/7,910.64 = 4,319.20/x
  3. Step 3: Cross multiply
    5,738.08x = 7,910.64 × 4,319.20
  4. Step 4: Simplify right side
    5,738.08x = 34,167,636.29
  5. Step 5: Solve for x
    x = 34,167,636.29/5,738.08
  6. Step 6: Final answer
    x = 5,954.54

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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.