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Finding the Fourth Proportional to 3,807.10, 5,254.80 and 3,413.44

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Solution

The fourth proportional to 3,807.10, 5,254.80 and 3,413.44 is: 4,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.10 : 5,254.80 = 3,413.44 : x
  2. Step 2: Convert to fraction form
    3,807.10/5,254.80 = 3,413.44/x
  3. Step 3: Cross multiply
    3,807.10x = 5,254.80 × 3,413.44
  4. Step 4: Simplify right side
    3,807.10x = 17,936,944.51
  5. Step 5: Solve for x
    x = 17,936,944.51/3,807.10
  6. Step 6: Final answer
    x = 4,711.45

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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.