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Finding the Fourth Proportional to 4,315.97, 6,435.08 and 4,208.33

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Solution

The fourth proportional to 4,315.97, 6,435.08 and 4,208.33 is: 6,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.97 : 6,435.08 = 4,208.33 : x
  2. Step 2: Convert to fraction form
    4,315.97/6,435.08 = 4,208.33/x
  3. Step 3: Cross multiply
    4,315.97x = 6,435.08 × 4,208.33
  4. Step 4: Simplify right side
    4,315.97x = 27,080,940.22
  5. Step 5: Solve for x
    x = 27,080,940.22/4,315.97
  6. Step 6: Final answer
    x = 6,274.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.