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Finding the Fourth Proportional to 3,265.71, 4,898.52 and 957.21

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Solution

The fourth proportional to 3,265.71, 4,898.52 and 957.21 is: 1,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.71 : 4,898.52 = 957.21 : x
  2. Step 2: Convert to fraction form
    3,265.71/4,898.52 = 957.21/x
  3. Step 3: Cross multiply
    3,265.71x = 4,898.52 × 957.21
  4. Step 4: Simplify right side
    3,265.71x = 4,688,912.33
  5. Step 5: Solve for x
    x = 4,688,912.33/3,265.71
  6. Step 6: Final answer
    x = 1,435.80

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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.