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Finding the Fourth Proportional to 3,716.40, 5,129.76 and 2,145.60

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Solution

The fourth proportional to 3,716.40, 5,129.76 and 2,145.60 is: 2,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.40 : 5,129.76 = 2,145.60 : x
  2. Step 2: Convert to fraction form
    3,716.40/5,129.76 = 2,145.60/x
  3. Step 3: Cross multiply
    3,716.40x = 5,129.76 × 2,145.60
  4. Step 4: Simplify right side
    3,716.40x = 11,006,413.06
  5. Step 5: Solve for x
    x = 11,006,413.06/3,716.40
  6. Step 6: Final answer
    x = 2,961.58

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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.