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Finding the Fourth Proportional to 4,152.33, 5,729.54 and 2,473.71

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Solution

The fourth proportional to 4,152.33, 5,729.54 and 2,473.71 is: 3,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.33 : 5,729.54 = 2,473.71 : x
  2. Step 2: Convert to fraction form
    4,152.33/5,729.54 = 2,473.71/x
  3. Step 3: Cross multiply
    4,152.33x = 5,729.54 × 2,473.71
  4. Step 4: Simplify right side
    4,152.33x = 14,173,186.54
  5. Step 5: Solve for x
    x = 14,173,186.54/4,152.33
  6. Step 6: Final answer
    x = 3,413.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.