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Finding the Fourth Proportional to 4,009.74, 6,016.53 and 1,413.90

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Solution

The fourth proportional to 4,009.74, 6,016.53 and 1,413.90 is: 2,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.74 : 6,016.53 = 1,413.90 : x
  2. Step 2: Convert to fraction form
    4,009.74/6,016.53 = 1,413.90/x
  3. Step 3: Cross multiply
    4,009.74x = 6,016.53 × 1,413.90
  4. Step 4: Simplify right side
    4,009.74x = 8,506,771.77
  5. Step 5: Solve for x
    x = 8,506,771.77/4,009.74
  6. Step 6: Final answer
    x = 2,121.53

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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.