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Finding the Fourth Proportional to 5,936.64, 8,902.16 and 1,775.04

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Solution

The fourth proportional to 5,936.64, 8,902.16 and 1,775.04 is: 2,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.64 : 8,902.16 = 1,775.04 : x
  2. Step 2: Convert to fraction form
    5,936.64/8,902.16 = 1,775.04/x
  3. Step 3: Cross multiply
    5,936.64x = 8,902.16 × 1,775.04
  4. Step 4: Simplify right side
    5,936.64x = 15,801,690.09
  5. Step 5: Solve for x
    x = 15,801,690.09/5,936.64
  6. Step 6: Final answer
    x = 2,661.72

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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.