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Finding the Fourth Proportional to 5,561.86, 7,675.14 and 3,203.68

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Solution

The fourth proportional to 5,561.86, 7,675.14 and 3,203.68 is: 4,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.86 : 7,675.14 = 3,203.68 : x
  2. Step 2: Convert to fraction form
    5,561.86/7,675.14 = 3,203.68/x
  3. Step 3: Cross multiply
    5,561.86x = 7,675.14 × 3,203.68
  4. Step 4: Simplify right side
    5,561.86x = 24,588,692.52
  5. Step 5: Solve for x
    x = 24,588,692.52/5,561.86
  6. Step 6: Final answer
    x = 4,420.95

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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.