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Finding the Fourth Proportional to 5,970.53, 8,233.82 and 4,059.22

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Solution

The fourth proportional to 5,970.53, 8,233.82 and 4,059.22 is: 5,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.53 : 8,233.82 = 4,059.22 : x
  2. Step 2: Convert to fraction form
    5,970.53/8,233.82 = 4,059.22/x
  3. Step 3: Cross multiply
    5,970.53x = 8,233.82 × 4,059.22
  4. Step 4: Simplify right side
    5,970.53x = 33,422,861.16
  5. Step 5: Solve for x
    x = 33,422,861.16/5,970.53
  6. Step 6: Final answer
    x = 5,597.98

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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.