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Finding the Fourth Proportional to 3,925.71, 5,413.32 and 3,212.19

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Solution

The fourth proportional to 3,925.71, 5,413.32 and 3,212.19 is: 4,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.71 : 5,413.32 = 3,212.19 : x
  2. Step 2: Convert to fraction form
    3,925.71/5,413.32 = 3,212.19/x
  3. Step 3: Cross multiply
    3,925.71x = 5,413.32 × 3,212.19
  4. Step 4: Simplify right side
    3,925.71x = 17,388,612.37
  5. Step 5: Solve for x
    x = 17,388,612.37/3,925.71
  6. Step 6: Final answer
    x = 4,429.42

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Why These Related Problems?

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