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Finding the Fourth Proportional to 3,810.61, 5,715.90 and 1,213.54

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Solution

The fourth proportional to 3,810.61, 5,715.90 and 1,213.54 is: 1,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.61 : 5,715.90 = 1,213.54 : x
  2. Step 2: Convert to fraction form
    3,810.61/5,715.90 = 1,213.54/x
  3. Step 3: Cross multiply
    3,810.61x = 5,715.90 × 1,213.54
  4. Step 4: Simplify right side
    3,810.61x = 6,936,473.29
  5. Step 5: Solve for x
    x = 6,936,473.29/3,810.61
  6. Step 6: Final answer
    x = 1,820.31

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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.