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Finding the Fourth Proportional to 4,890.68, 7,335.48 and 1,427.96

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Solution

The fourth proportional to 4,890.68, 7,335.48 and 1,427.96 is: 2,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.68 : 7,335.48 = 1,427.96 : x
  2. Step 2: Convert to fraction form
    4,890.68/7,335.48 = 1,427.96/x
  3. Step 3: Cross multiply
    4,890.68x = 7,335.48 × 1,427.96
  4. Step 4: Simplify right side
    4,890.68x = 10,474,772.02
  5. Step 5: Solve for x
    x = 10,474,772.02/4,890.68
  6. Step 6: Final answer
    x = 2,141.78

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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.