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Finding the Fourth Proportional to 5,044.35, 6,967.05 and 3,363

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Solution

The fourth proportional to 5,044.35, 6,967.05 and 3,363 is: 4,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.35 : 6,967.05 = 3,363 : x
  2. Step 2: Convert to fraction form
    5,044.35/6,967.05 = 3,363/x
  3. Step 3: Cross multiply
    5,044.35x = 6,967.05 × 3,363
  4. Step 4: Simplify right side
    5,044.35x = 23,430,189.15
  5. Step 5: Solve for x
    x = 23,430,189.15/5,044.35
  6. Step 6: Final answer
    x = 4,644.84

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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.