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Finding the Fourth Proportional to 4,209.07, 6,313.61 and 4,202.99

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Solution

The fourth proportional to 4,209.07, 6,313.61 and 4,202.99 is: 6,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.07 : 6,313.61 = 4,202.99 : x
  2. Step 2: Convert to fraction form
    4,209.07/6,313.61 = 4,202.99/x
  3. Step 3: Cross multiply
    4,209.07x = 6,313.61 × 4,202.99
  4. Step 4: Simplify right side
    4,209.07x = 26,536,039.69
  5. Step 5: Solve for x
    x = 26,536,039.69/4,209.07
  6. Step 6: Final answer
    x = 6,304.49

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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.