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Finding the Fourth Proportional to 5,894.85, 8,143.17 and 5,362.80

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Solution

The fourth proportional to 5,894.85, 8,143.17 and 5,362.80 is: 7,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.85 : 8,143.17 = 5,362.80 : x
  2. Step 2: Convert to fraction form
    5,894.85/8,143.17 = 5,362.80/x
  3. Step 3: Cross multiply
    5,894.85x = 8,143.17 × 5,362.80
  4. Step 4: Simplify right side
    5,894.85x = 43,670,192.08
  5. Step 5: Solve for x
    x = 43,670,192.08/5,894.85
  6. Step 6: Final answer
    x = 7,408.19

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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.