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Finding the Fourth Proportional to 5,894.26, 8,839.50 and 5,506

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Solution

The fourth proportional to 5,894.26, 8,839.50 and 5,506 is: 8,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.26 : 8,839.50 = 5,506 : x
  2. Step 2: Convert to fraction form
    5,894.26/8,839.50 = 5,506/x
  3. Step 3: Cross multiply
    5,894.26x = 8,839.50 × 5,506
  4. Step 4: Simplify right side
    5,894.26x = 48,670,287
  5. Step 5: Solve for x
    x = 48,670,287/5,894.26
  6. Step 6: Final answer
    x = 8,257.23

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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.