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Finding the Fourth Proportional to 3,230.28, 4,846.23 and 1,038.96

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Solution

The fourth proportional to 3,230.28, 4,846.23 and 1,038.96 is: 1,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.28 : 4,846.23 = 1,038.96 : x
  2. Step 2: Convert to fraction form
    3,230.28/4,846.23 = 1,038.96/x
  3. Step 3: Cross multiply
    3,230.28x = 4,846.23 × 1,038.96
  4. Step 4: Simplify right side
    3,230.28x = 5,035,039.12
  5. Step 5: Solve for x
    x = 5,035,039.12/3,230.28
  6. Step 6: Final answer
    x = 1,558.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.