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Finding the Fourth Proportional to 4,714.98, 7,051.74 and 3,550.47

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Solution

The fourth proportional to 4,714.98, 7,051.74 and 3,550.47 is: 5,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.98 : 7,051.74 = 3,550.47 : x
  2. Step 2: Convert to fraction form
    4,714.98/7,051.74 = 3,550.47/x
  3. Step 3: Cross multiply
    4,714.98x = 7,051.74 × 3,550.47
  4. Step 4: Simplify right side
    4,714.98x = 25,036,991.32
  5. Step 5: Solve for x
    x = 25,036,991.32/4,714.98
  6. Step 6: Final answer
    x = 5,310.09

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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.