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Finding the Fourth Proportional to 4,209.99, 6,306.76 and 3,097.38

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Solution

The fourth proportional to 4,209.99, 6,306.76 and 3,097.38 is: 4,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.99 : 6,306.76 = 3,097.38 : x
  2. Step 2: Convert to fraction form
    4,209.99/6,306.76 = 3,097.38/x
  3. Step 3: Cross multiply
    4,209.99x = 6,306.76 × 3,097.38
  4. Step 4: Simplify right side
    4,209.99x = 19,534,432.29
  5. Step 5: Solve for x
    x = 19,534,432.29/4,209.99
  6. Step 6: Final answer
    x = 4,640.02

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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.