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Finding the Fourth Proportional to 4,673.80, 6,448.22 and 2,996.13

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Solution

The fourth proportional to 4,673.80, 6,448.22 and 2,996.13 is: 4,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.80 : 6,448.22 = 2,996.13 : x
  2. Step 2: Convert to fraction form
    4,673.80/6,448.22 = 2,996.13/x
  3. Step 3: Cross multiply
    4,673.80x = 6,448.22 × 2,996.13
  4. Step 4: Simplify right side
    4,673.80x = 19,319,724.54
  5. Step 5: Solve for x
    x = 19,319,724.54/4,673.80
  6. Step 6: Final answer
    x = 4,133.62

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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.