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Finding the Fourth Proportional to 3,209.38, 4,814.15 and 957.68

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Solution

The fourth proportional to 3,209.38, 4,814.15 and 957.68 is: 1,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.38 : 4,814.15 = 957.68 : x
  2. Step 2: Convert to fraction form
    3,209.38/4,814.15 = 957.68/x
  3. Step 3: Cross multiply
    3,209.38x = 4,814.15 × 957.68
  4. Step 4: Simplify right side
    3,209.38x = 4,610,422.42
  5. Step 5: Solve for x
    x = 4,610,422.42/3,209.38
  6. Step 6: Final answer
    x = 1,436.55

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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.