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Finding the Fourth Proportional to 3,729.12, 5,146.44 and 2,468

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Solution

The fourth proportional to 3,729.12, 5,146.44 and 2,468 is: 3,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.12 : 5,146.44 = 2,468 : x
  2. Step 2: Convert to fraction form
    3,729.12/5,146.44 = 2,468/x
  3. Step 3: Cross multiply
    3,729.12x = 5,146.44 × 2,468
  4. Step 4: Simplify right side
    3,729.12x = 12,701,413.92
  5. Step 5: Solve for x
    x = 12,701,413.92/3,729.12
  6. Step 6: Final answer
    x = 3,406.01

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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.