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Finding the Fourth Proportional to 3,413.64, 4,710.58 and 1,921.27

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Solution

The fourth proportional to 3,413.64, 4,710.58 and 1,921.27 is: 2,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.64 : 4,710.58 = 1,921.27 : x
  2. Step 2: Convert to fraction form
    3,413.64/4,710.58 = 1,921.27/x
  3. Step 3: Cross multiply
    3,413.64x = 4,710.58 × 1,921.27
  4. Step 4: Simplify right side
    3,413.64x = 9,050,296.04
  5. Step 5: Solve for x
    x = 9,050,296.04/3,413.64
  6. Step 6: Final answer
    x = 2,651.22

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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.