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Finding the Fourth Proportional to 3,674.55, 5,066.41 and 3,200.70

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Solution

The fourth proportional to 3,674.55, 5,066.41 and 3,200.70 is: 4,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.55 : 5,066.41 = 3,200.70 : x
  2. Step 2: Convert to fraction form
    3,674.55/5,066.41 = 3,200.70/x
  3. Step 3: Cross multiply
    3,674.55x = 5,066.41 × 3,200.70
  4. Step 4: Simplify right side
    3,674.55x = 16,216,058.49
  5. Step 5: Solve for x
    x = 16,216,058.49/3,674.55
  6. Step 6: Final answer
    x = 4,413.07

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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.