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Finding the Fourth Proportional to 4,114.51, 5,664.31 and 3,926.20

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Solution

The fourth proportional to 4,114.51, 5,664.31 and 3,926.20 is: 5,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.51 : 5,664.31 = 3,926.20 : x
  2. Step 2: Convert to fraction form
    4,114.51/5,664.31 = 3,926.20/x
  3. Step 3: Cross multiply
    4,114.51x = 5,664.31 × 3,926.20
  4. Step 4: Simplify right side
    4,114.51x = 22,239,213.92
  5. Step 5: Solve for x
    x = 22,239,213.92/4,114.51
  6. Step 6: Final answer
    x = 5,405.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.