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Finding the Fourth Proportional to 4,682.88, 6,459.48 and 3,924.72

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Solution

The fourth proportional to 4,682.88, 6,459.48 and 3,924.72 is: 5,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.88 : 6,459.48 = 3,924.72 : x
  2. Step 2: Convert to fraction form
    4,682.88/6,459.48 = 3,924.72/x
  3. Step 3: Cross multiply
    4,682.88x = 6,459.48 × 3,924.72
  4. Step 4: Simplify right side
    4,682.88x = 25,351,650.35
  5. Step 5: Solve for x
    x = 25,351,650.35/4,682.88
  6. Step 6: Final answer
    x = 5,413.69

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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.