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Finding the Fourth Proportional to 5,845.28, 8,802.20 and 4,213.14

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Solution

The fourth proportional to 5,845.28, 8,802.20 and 4,213.14 is: 6,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.28 : 8,802.20 = 4,213.14 : x
  2. Step 2: Convert to fraction form
    5,845.28/8,802.20 = 4,213.14/x
  3. Step 3: Cross multiply
    5,845.28x = 8,802.20 × 4,213.14
  4. Step 4: Simplify right side
    5,845.28x = 37,084,900.91
  5. Step 5: Solve for x
    x = 37,084,900.91/5,845.28
  6. Step 6: Final answer
    x = 6,344.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.