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Finding the Fourth Proportional to 4,010.81, 6,016.75 and 1,413.14

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Solution

The fourth proportional to 4,010.81, 6,016.75 and 1,413.14 is: 2,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.81 : 6,016.75 = 1,413.14 : x
  2. Step 2: Convert to fraction form
    4,010.81/6,016.75 = 1,413.14/x
  3. Step 3: Cross multiply
    4,010.81x = 6,016.75 × 1,413.14
  4. Step 4: Simplify right side
    4,010.81x = 8,502,476.48
  5. Step 5: Solve for x
    x = 8,502,476.48/4,010.81
  6. Step 6: Final answer
    x = 2,119.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.