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Finding the Fourth Proportional to 3,421.51, 5,131.05 and 1,080.82

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Solution

The fourth proportional to 3,421.51, 5,131.05 and 1,080.82 is: 1,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.51 : 5,131.05 = 1,080.82 : x
  2. Step 2: Convert to fraction form
    3,421.51/5,131.05 = 1,080.82/x
  3. Step 3: Cross multiply
    3,421.51x = 5,131.05 × 1,080.82
  4. Step 4: Simplify right side
    3,421.51x = 5,545,741.46
  5. Step 5: Solve for x
    x = 5,545,741.46/3,421.51
  6. Step 6: Final answer
    x = 1,620.85

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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.