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Finding the Fourth Proportional to 5,894.88, 8,825.16 and 3,422.16

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Solution

The fourth proportional to 5,894.88, 8,825.16 and 3,422.16 is: 5,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.88 : 8,825.16 = 3,422.16 : x
  2. Step 2: Convert to fraction form
    5,894.88/8,825.16 = 3,422.16/x
  3. Step 3: Cross multiply
    5,894.88x = 8,825.16 × 3,422.16
  4. Step 4: Simplify right side
    5,894.88x = 30,201,109.55
  5. Step 5: Solve for x
    x = 30,201,109.55/5,894.88
  6. Step 6: Final answer
    x = 5,123.28

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1.5x scale

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.