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Finding the Fourth Proportional to 3,810.80, 5,716.80 and 1,213.52

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Solution

The fourth proportional to 3,810.80, 5,716.80 and 1,213.52 is: 1,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.80 : 5,716.80 = 1,213.52 : x
  2. Step 2: Convert to fraction form
    3,810.80/5,716.80 = 1,213.52/x
  3. Step 3: Cross multiply
    3,810.80x = 5,716.80 × 1,213.52
  4. Step 4: Simplify right side
    3,810.80x = 6,937,451.14
  5. Step 5: Solve for x
    x = 6,937,451.14/3,810.80
  6. Step 6: Final answer
    x = 1,820.47

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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.