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Finding the Fourth Proportional to 5,442.40, 8,163.51 and 2,364.40

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Solution

The fourth proportional to 5,442.40, 8,163.51 and 2,364.40 is: 3,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.40 : 8,163.51 = 2,364.40 : x
  2. Step 2: Convert to fraction form
    5,442.40/8,163.51 = 2,364.40/x
  3. Step 3: Cross multiply
    5,442.40x = 8,163.51 × 2,364.40
  4. Step 4: Simplify right side
    5,442.40x = 19,301,803.04
  5. Step 5: Solve for x
    x = 19,301,803.04/5,442.40
  6. Step 6: Final answer
    x = 3,546.56

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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.