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Finding the Fourth Proportional to 5,885.63, 8,122.88 and 3,401.63

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Solution

The fourth proportional to 5,885.63, 8,122.88 and 3,401.63 is: 4,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.63 : 8,122.88 = 3,401.63 : x
  2. Step 2: Convert to fraction form
    5,885.63/8,122.88 = 3,401.63/x
  3. Step 3: Cross multiply
    5,885.63x = 8,122.88 × 3,401.63
  4. Step 4: Simplify right side
    5,885.63x = 27,631,000.18
  5. Step 5: Solve for x
    x = 27,631,000.18/5,885.63
  6. Step 6: Final answer
    x = 4,694.66

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1.5x scale

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.