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Finding the Fourth Proportional to 3,416.16, 4,714.34 and 1,999.54

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Solution

The fourth proportional to 3,416.16, 4,714.34 and 1,999.54 is: 2,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.16 : 4,714.34 = 1,999.54 : x
  2. Step 2: Convert to fraction form
    3,416.16/4,714.34 = 1,999.54/x
  3. Step 3: Cross multiply
    3,416.16x = 4,714.34 × 1,999.54
  4. Step 4: Simplify right side
    3,416.16x = 9,426,511.40
  5. Step 5: Solve for x
    x = 9,426,511.40/3,416.16
  6. Step 6: Final answer
    x = 2,759.39

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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.