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Finding the Fourth Proportional to 3,413.34, 5,119.44 and 947.50

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Solution

The fourth proportional to 3,413.34, 5,119.44 and 947.50 is: 1,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.34 : 5,119.44 = 947.50 : x
  2. Step 2: Convert to fraction form
    3,413.34/5,119.44 = 947.50/x
  3. Step 3: Cross multiply
    3,413.34x = 5,119.44 × 947.50
  4. Step 4: Simplify right side
    3,413.34x = 4,850,657.05
  5. Step 5: Solve for x
    x = 4,850,657.05/3,413.34
  6. Step 6: Final answer
    x = 1,421.09

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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.