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Finding the Fourth Proportional to 5,918.64, 8,873.64 and 2,454

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Solution

The fourth proportional to 5,918.64, 8,873.64 and 2,454 is: 3,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.64 : 8,873.64 = 2,454 : x
  2. Step 2: Convert to fraction form
    5,918.64/8,873.64 = 2,454/x
  3. Step 3: Cross multiply
    5,918.64x = 8,873.64 × 2,454
  4. Step 4: Simplify right side
    5,918.64x = 21,775,912.56
  5. Step 5: Solve for x
    x = 21,775,912.56/5,918.64
  6. Step 6: Final answer
    x = 3,679.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.