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Finding the Fourth Proportional to 5,209.40, 7,188.90 and 2,851.40

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Solution

The fourth proportional to 5,209.40, 7,188.90 and 2,851.40 is: 3,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.40 : 7,188.90 = 2,851.40 : x
  2. Step 2: Convert to fraction form
    5,209.40/7,188.90 = 2,851.40/x
  3. Step 3: Cross multiply
    5,209.40x = 7,188.90 × 2,851.40
  4. Step 4: Simplify right side
    5,209.40x = 20,498,429.46
  5. Step 5: Solve for x
    x = 20,498,429.46/5,209.40
  6. Step 6: Final answer
    x = 3,934.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.