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Finding the Fourth Proportional to 3,546.68, 5,320.58 and 1,080.93

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Solution

The fourth proportional to 3,546.68, 5,320.58 and 1,080.93 is: 1,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.68 : 5,320.58 = 1,080.93 : x
  2. Step 2: Convert to fraction form
    3,546.68/5,320.58 = 1,080.93/x
  3. Step 3: Cross multiply
    3,546.68x = 5,320.58 × 1,080.93
  4. Step 4: Simplify right side
    3,546.68x = 5,751,169.13
  5. Step 5: Solve for x
    x = 5,751,169.13/3,546.68
  6. Step 6: Final answer
    x = 1,621.57

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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.