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Finding the Fourth Proportional to 3,230.96, 4,846.28 and 1,039.64

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Solution

The fourth proportional to 3,230.96, 4,846.28 and 1,039.64 is: 1,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.96 : 4,846.28 = 1,039.64 : x
  2. Step 2: Convert to fraction form
    3,230.96/4,846.28 = 1,039.64/x
  3. Step 3: Cross multiply
    3,230.96x = 4,846.28 × 1,039.64
  4. Step 4: Simplify right side
    3,230.96x = 5,038,357.11
  5. Step 5: Solve for x
    x = 5,038,357.11/3,230.96
  6. Step 6: Final answer
    x = 1,559.40

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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.