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Finding the Fourth Proportional to 4,046.36, 6,066.68 and 1,413.27

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Solution

The fourth proportional to 4,046.36, 6,066.68 and 1,413.27 is: 2,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.36 : 6,066.68 = 1,413.27 : x
  2. Step 2: Convert to fraction form
    4,046.36/6,066.68 = 1,413.27/x
  3. Step 3: Cross multiply
    4,046.36x = 6,066.68 × 1,413.27
  4. Step 4: Simplify right side
    4,046.36x = 8,573,849.78
  5. Step 5: Solve for x
    x = 8,573,849.78/4,046.36
  6. Step 6: Final answer
    x = 2,118.91

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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.