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Finding the Fourth Proportional to 3,413.94, 5,116.47 and 2,973.30

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Solution

The fourth proportional to 3,413.94, 5,116.47 and 2,973.30 is: 4,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.94 : 5,116.47 = 2,973.30 : x
  2. Step 2: Convert to fraction form
    3,413.94/5,116.47 = 2,973.30/x
  3. Step 3: Cross multiply
    3,413.94x = 5,116.47 × 2,973.30
  4. Step 4: Simplify right side
    3,413.94x = 15,212,800.25
  5. Step 5: Solve for x
    x = 15,212,800.25/3,413.94
  6. Step 6: Final answer
    x = 4,456.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.