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Finding the Fourth Proportional to 3,413.60, 4,700.85 and 2,965.26

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Solution

The fourth proportional to 3,413.60, 4,700.85 and 2,965.26 is: 4,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.60 : 4,700.85 = 2,965.26 : x
  2. Step 2: Convert to fraction form
    3,413.60/4,700.85 = 2,965.26/x
  3. Step 3: Cross multiply
    3,413.60x = 4,700.85 × 2,965.26
  4. Step 4: Simplify right side
    3,413.60x = 13,939,265.66
  5. Step 5: Solve for x
    x = 13,939,265.66/3,413.60
  6. Step 6: Final answer
    x = 4,083.45

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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.