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Finding the Fourth Proportional to 4,744.02, 7,116.06 and 3,009

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Solution

The fourth proportional to 4,744.02, 7,116.06 and 3,009 is: 4,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.02 : 7,116.06 = 3,009 : x
  2. Step 2: Convert to fraction form
    4,744.02/7,116.06 = 3,009/x
  3. Step 3: Cross multiply
    4,744.02x = 7,116.06 × 3,009
  4. Step 4: Simplify right side
    4,744.02x = 21,412,224.54
  5. Step 5: Solve for x
    x = 21,412,224.54/4,744.02
  6. Step 6: Final answer
    x = 4,513.52

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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.