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Finding the Fourth Proportional to 4,283.84, 6,413.43 and 3,165.72

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Solution

The fourth proportional to 4,283.84, 6,413.43 and 3,165.72 is: 4,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.84 : 6,413.43 = 3,165.72 : x
  2. Step 2: Convert to fraction form
    4,283.84/6,413.43 = 3,165.72/x
  3. Step 3: Cross multiply
    4,283.84x = 6,413.43 × 3,165.72
  4. Step 4: Simplify right side
    4,283.84x = 20,303,123.62
  5. Step 5: Solve for x
    x = 20,303,123.62/4,283.84
  6. Step 6: Final answer
    x = 4,739.47

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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.