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Finding the Fourth Proportional to 3,209.04, 4,813.19 and 868.91

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Solution

The fourth proportional to 3,209.04, 4,813.19 and 868.91 is: 1,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.04 : 4,813.19 = 868.91 : x
  2. Step 2: Convert to fraction form
    3,209.04/4,813.19 = 868.91/x
  3. Step 3: Cross multiply
    3,209.04x = 4,813.19 × 868.91
  4. Step 4: Simplify right side
    3,209.04x = 4,182,235.73
  5. Step 5: Solve for x
    x = 4,182,235.73/3,209.04
  6. Step 6: Final answer
    x = 1,303.27

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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.