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Finding the Fourth Proportional to 4,227.68, 6,342.16 and 1,888.48

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Solution

The fourth proportional to 4,227.68, 6,342.16 and 1,888.48 is: 2,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.68 : 6,342.16 = 1,888.48 : x
  2. Step 2: Convert to fraction form
    4,227.68/6,342.16 = 1,888.48/x
  3. Step 3: Cross multiply
    4,227.68x = 6,342.16 × 1,888.48
  4. Step 4: Simplify right side
    4,227.68x = 11,977,042.32
  5. Step 5: Solve for x
    x = 11,977,042.32/4,227.68
  6. Step 6: Final answer
    x = 2,833.01

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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.