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Finding the Fourth Proportional to 5,535.58, 8,307 and 2,940.34

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Solution

The fourth proportional to 5,535.58, 8,307 and 2,940.34 is: 4,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.58 : 8,307 = 2,940.34 : x
  2. Step 2: Convert to fraction form
    5,535.58/8,307 = 2,940.34/x
  3. Step 3: Cross multiply
    5,535.58x = 8,307 × 2,940.34
  4. Step 4: Simplify right side
    5,535.58x = 24,425,404.38
  5. Step 5: Solve for x
    x = 24,425,404.38/5,535.58
  6. Step 6: Final answer
    x = 4,412.44

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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.