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Finding the Fourth Proportional to 4,946.66, 7,413.62 and 3,704.34

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Solution

The fourth proportional to 4,946.66, 7,413.62 and 3,704.34 is: 5,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.66 : 7,413.62 = 3,704.34 : x
  2. Step 2: Convert to fraction form
    4,946.66/7,413.62 = 3,704.34/x
  3. Step 3: Cross multiply
    4,946.66x = 7,413.62 × 3,704.34
  4. Step 4: Simplify right side
    4,946.66x = 27,462,569.11
  5. Step 5: Solve for x
    x = 27,462,569.11/4,946.66
  6. Step 6: Final answer
    x = 5,551.74

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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.