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Finding the Fourth Proportional to 4,208.60, 6,299.13 and 3,097.71

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Solution

The fourth proportional to 4,208.60, 6,299.13 and 3,097.71 is: 4,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.60 : 6,299.13 = 3,097.71 : x
  2. Step 2: Convert to fraction form
    4,208.60/6,299.13 = 3,097.71/x
  3. Step 3: Cross multiply
    4,208.60x = 6,299.13 × 3,097.71
  4. Step 4: Simplify right side
    4,208.60x = 19,512,877.99
  5. Step 5: Solve for x
    x = 19,512,877.99/4,208.60
  6. Step 6: Final answer
    x = 4,636.43

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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.