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Finding the Fourth Proportional to 5,930.17, 8,892.06 and 2,962.15

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Solution

The fourth proportional to 5,930.17, 8,892.06 and 2,962.15 is: 4,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.17 : 8,892.06 = 2,962.15 : x
  2. Step 2: Convert to fraction form
    5,930.17/8,892.06 = 2,962.15/x
  3. Step 3: Cross multiply
    5,930.17x = 8,892.06 × 2,962.15
  4. Step 4: Simplify right side
    5,930.17x = 26,339,615.53
  5. Step 5: Solve for x
    x = 26,339,615.53/5,930.17
  6. Step 6: Final answer
    x = 4,441.63

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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.