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Finding the Fourth Proportional to 5,346.68, 8,020.02 and 2,422.93

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Solution

The fourth proportional to 5,346.68, 8,020.02 and 2,422.93 is: 3,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.68 : 8,020.02 = 2,422.93 : x
  2. Step 2: Convert to fraction form
    5,346.68/8,020.02 = 2,422.93/x
  3. Step 3: Cross multiply
    5,346.68x = 8,020.02 × 2,422.93
  4. Step 4: Simplify right side
    5,346.68x = 19,431,947.06
  5. Step 5: Solve for x
    x = 19,431,947.06/5,346.68
  6. Step 6: Final answer
    x = 3,634.40

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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.