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Finding the Fourth Proportional to 3,575, 5,358.82 and 2,015.72

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Solution

The fourth proportional to 3,575, 5,358.82 and 2,015.72 is: 3,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575 : 5,358.82 = 2,015.72 : x
  2. Step 2: Convert to fraction form
    3,575/5,358.82 = 2,015.72/x
  3. Step 3: Cross multiply
    3,575x = 5,358.82 × 2,015.72
  4. Step 4: Simplify right side
    3,575x = 10,801,880.65
  5. Step 5: Solve for x
    x = 10,801,880.65/3,575
  6. Step 6: Final answer
    x = 3,021.51

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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.