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Finding the Fourth Proportional to 5,969.61, 8,234.98 and 3,577.68

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Solution

The fourth proportional to 5,969.61, 8,234.98 and 3,577.68 is: 4,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.61 : 8,234.98 = 3,577.68 : x
  2. Step 2: Convert to fraction form
    5,969.61/8,234.98 = 3,577.68/x
  3. Step 3: Cross multiply
    5,969.61x = 8,234.98 × 3,577.68
  4. Step 4: Simplify right side
    5,969.61x = 29,462,114.30
  5. Step 5: Solve for x
    x = 29,462,114.30/5,969.61
  6. Step 6: Final answer
    x = 4,935.35

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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.