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Finding the Fourth Proportional to 3,298.02, 4,945.83 and 957.39

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Solution

The fourth proportional to 3,298.02, 4,945.83 and 957.39 is: 1,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.02 : 4,945.83 = 957.39 : x
  2. Step 2: Convert to fraction form
    3,298.02/4,945.83 = 957.39/x
  3. Step 3: Cross multiply
    3,298.02x = 4,945.83 × 957.39
  4. Step 4: Simplify right side
    3,298.02x = 4,735,066.05
  5. Step 5: Solve for x
    x = 4,735,066.05/3,298.02
  6. Step 6: Final answer
    x = 1,435.73

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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.