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Finding the Fourth Proportional to 3,554, 4,903.57 and 3,413.87

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Solution

The fourth proportional to 3,554, 4,903.57 and 3,413.87 is: 4,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554 : 4,903.57 = 3,413.87 : x
  2. Step 2: Convert to fraction form
    3,554/4,903.57 = 3,413.87/x
  3. Step 3: Cross multiply
    3,554x = 4,903.57 × 3,413.87
  4. Step 4: Simplify right side
    3,554x = 16,740,150.52
  5. Step 5: Solve for x
    x = 16,740,150.52/3,554
  6. Step 6: Final answer
    x = 4,710.23

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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.