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Finding the Fourth Proportional to 3,209.43, 4,813.74 and 1,017.57

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Solution

The fourth proportional to 3,209.43, 4,813.74 and 1,017.57 is: 1,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.43 : 4,813.74 = 1,017.57 : x
  2. Step 2: Convert to fraction form
    3,209.43/4,813.74 = 1,017.57/x
  3. Step 3: Cross multiply
    3,209.43x = 4,813.74 × 1,017.57
  4. Step 4: Simplify right side
    3,209.43x = 4,898,317.41
  5. Step 5: Solve for x
    x = 4,898,317.41/3,209.43
  6. Step 6: Final answer
    x = 1,526.23

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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.