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Finding the Fourth Proportional to 3,921.69, 5,883.56 and 1,457.22

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Solution

The fourth proportional to 3,921.69, 5,883.56 and 1,457.22 is: 2,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.69 : 5,883.56 = 1,457.22 : x
  2. Step 2: Convert to fraction form
    3,921.69/5,883.56 = 1,457.22/x
  3. Step 3: Cross multiply
    3,921.69x = 5,883.56 × 1,457.22
  4. Step 4: Simplify right side
    3,921.69x = 8,573,634.02
  5. Step 5: Solve for x
    x = 8,573,634.02/3,921.69
  6. Step 6: Final answer
    x = 2,186.21

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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.