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Finding the Fourth Proportional to 5,575, 8,363.20 and 2,064.42

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Solution

The fourth proportional to 5,575, 8,363.20 and 2,064.42 is: 3,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575 : 8,363.20 = 2,064.42 : x
  2. Step 2: Convert to fraction form
    5,575/8,363.20 = 2,064.42/x
  3. Step 3: Cross multiply
    5,575x = 8,363.20 × 2,064.42
  4. Step 4: Simplify right side
    5,575x = 17,265,115.53
  5. Step 5: Solve for x
    x = 17,265,115.53/5,575
  6. Step 6: Final answer
    x = 3,096.88

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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.