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Finding the Fourth Proportional to 5,575, 7,693.74 and 3,336.45

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Solution

The fourth proportional to 5,575, 7,693.74 and 3,336.45 is: 4,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,575 : 7,693.74 = 3,336.45 : x
  2. Step 2: Convert to fraction form
    5,575/7,693.74 = 3,336.45/x
  3. Step 3: Cross multiply
    5,575x = 7,693.74 × 3,336.45
  4. Step 4: Simplify right side
    5,575x = 25,669,778.82
  5. Step 5: Solve for x
    x = 25,669,778.82/5,575
  6. Step 6: Final answer
    x = 4,604.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.