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Finding the Fourth Proportional to 4,227.70, 6,343.53 and 1,887.46

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Solution

The fourth proportional to 4,227.70, 6,343.53 and 1,887.46 is: 2,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.70 : 6,343.53 = 1,887.46 : x
  2. Step 2: Convert to fraction form
    4,227.70/6,343.53 = 1,887.46/x
  3. Step 3: Cross multiply
    4,227.70x = 6,343.53 × 1,887.46
  4. Step 4: Simplify right side
    4,227.70x = 11,973,159.13
  5. Step 5: Solve for x
    x = 11,973,159.13/4,227.70
  6. Step 6: Final answer
    x = 2,832.07

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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.