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Finding the Fourth Proportional to 4,602.09, 6,348.99 and 3,205.65

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Solution

The fourth proportional to 4,602.09, 6,348.99 and 3,205.65 is: 4,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.09 : 6,348.99 = 3,205.65 : x
  2. Step 2: Convert to fraction form
    4,602.09/6,348.99 = 3,205.65/x
  3. Step 3: Cross multiply
    4,602.09x = 6,348.99 × 3,205.65
  4. Step 4: Simplify right side
    4,602.09x = 20,352,639.79
  5. Step 5: Solve for x
    x = 20,352,639.79/4,602.09
  6. Step 6: Final answer
    x = 4,422.48

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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.