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Finding the Fourth Proportional to 3,307, 4,952.34 and 1,748.44

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Solution

The fourth proportional to 3,307, 4,952.34 and 1,748.44 is: 2,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307 : 4,952.34 = 1,748.44 : x
  2. Step 2: Convert to fraction form
    3,307/4,952.34 = 1,748.44/x
  3. Step 3: Cross multiply
    3,307x = 4,952.34 × 1,748.44
  4. Step 4: Simplify right side
    3,307x = 8,658,869.35
  5. Step 5: Solve for x
    x = 8,658,869.35/3,307
  6. Step 6: Final answer
    x = 2,618.35

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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.