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Finding the Fourth Proportional to 3,814.26, 5,720.43 and 1,215.86

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Solution

The fourth proportional to 3,814.26, 5,720.43 and 1,215.86 is: 1,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.26 : 5,720.43 = 1,215.86 : x
  2. Step 2: Convert to fraction form
    3,814.26/5,720.43 = 1,215.86/x
  3. Step 3: Cross multiply
    3,814.26x = 5,720.43 × 1,215.86
  4. Step 4: Simplify right side
    3,814.26x = 6,955,242.02
  5. Step 5: Solve for x
    x = 6,955,242.02/3,814.26
  6. Step 6: Final answer
    x = 1,823.48

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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.