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Finding the Fourth Proportional to 4,010.71, 6,016.97 and 1,413.67

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Solution

The fourth proportional to 4,010.71, 6,016.97 and 1,413.67 is: 2,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010.71 : 6,016.97 = 1,413.67 : x
  2. Step 2: Convert to fraction form
    4,010.71/6,016.97 = 1,413.67/x
  3. Step 3: Cross multiply
    4,010.71x = 6,016.97 × 1,413.67
  4. Step 4: Simplify right side
    4,010.71x = 8,506,002.91
  5. Step 5: Solve for x
    x = 8,506,002.91/4,010.71
  6. Step 6: Final answer
    x = 2,120.82

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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.