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Finding the Fourth Proportional to 5,805.98, 8,012.42 and 3,416.12

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Solution

The fourth proportional to 5,805.98, 8,012.42 and 3,416.12 is: 4,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.98 : 8,012.42 = 3,416.12 : x
  2. Step 2: Convert to fraction form
    5,805.98/8,012.42 = 3,416.12/x
  3. Step 3: Cross multiply
    5,805.98x = 8,012.42 × 3,416.12
  4. Step 4: Simplify right side
    5,805.98x = 27,371,388.21
  5. Step 5: Solve for x
    x = 27,371,388.21/5,805.98
  6. Step 6: Final answer
    x = 4,714.34

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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.