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Finding the Fourth Proportional to 5,989.76, 8,266.92 and 4,505.12

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Solution

The fourth proportional to 5,989.76, 8,266.92 and 4,505.12 is: 6,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.76 : 8,266.92 = 4,505.12 : x
  2. Step 2: Convert to fraction form
    5,989.76/8,266.92 = 4,505.12/x
  3. Step 3: Cross multiply
    5,989.76x = 8,266.92 × 4,505.12
  4. Step 4: Simplify right side
    5,989.76x = 37,243,466.63
  5. Step 5: Solve for x
    x = 37,243,466.63/5,989.76
  6. Step 6: Final answer
    x = 6,217.86

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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.