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Finding the Fourth Proportional to 4,546.72, 6,820.06 and 1,169.51

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Solution

The fourth proportional to 4,546.72, 6,820.06 and 1,169.51 is: 1,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.72 : 6,820.06 = 1,169.51 : x
  2. Step 2: Convert to fraction form
    4,546.72/6,820.06 = 1,169.51/x
  3. Step 3: Cross multiply
    4,546.72x = 6,820.06 × 1,169.51
  4. Step 4: Simplify right side
    4,546.72x = 7,976,114.00
  5. Step 5: Solve for x
    x = 7,976,114.00/4,546.72
  6. Step 6: Final answer
    x = 1,754.26

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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.