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Finding the Fourth Proportional to 3,614.70, 5,413.95 and 3,533.70

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Solution

The fourth proportional to 3,614.70, 5,413.95 and 3,533.70 is: 5,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.70 : 5,413.95 = 3,533.70 : x
  2. Step 2: Convert to fraction form
    3,614.70/5,413.95 = 3,533.70/x
  3. Step 3: Cross multiply
    3,614.70x = 5,413.95 × 3,533.70
  4. Step 4: Simplify right side
    3,614.70x = 19,131,275.12
  5. Step 5: Solve for x
    x = 19,131,275.12/3,614.70
  6. Step 6: Final answer
    x = 5,292.63

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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.