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Finding the Fourth Proportional to 4,714.96, 7,074.60 and 2,116.48

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Solution

The fourth proportional to 4,714.96, 7,074.60 and 2,116.48 is: 3,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.96 : 7,074.60 = 2,116.48 : x
  2. Step 2: Convert to fraction form
    4,714.96/7,074.60 = 2,116.48/x
  3. Step 3: Cross multiply
    4,714.96x = 7,074.60 × 2,116.48
  4. Step 4: Simplify right side
    4,714.96x = 14,973,249.41
  5. Step 5: Solve for x
    x = 14,973,249.41/4,714.96
  6. Step 6: Final answer
    x = 3,175.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.