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Finding the Fourth Proportional to 3,149.53, 4,714.00 and 2,316.37

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Solution

The fourth proportional to 3,149.53, 4,714.00 and 2,316.37 is: 3,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.53 : 4,714.00 = 2,316.37 : x
  2. Step 2: Convert to fraction form
    3,149.53/4,714.00 = 2,316.37/x
  3. Step 3: Cross multiply
    3,149.53x = 4,714.00 × 2,316.37
  4. Step 4: Simplify right side
    3,149.53x = 10,919,333.03
  5. Step 5: Solve for x
    x = 10,919,333.03/3,149.53
  6. Step 6: Final answer
    x = 3,466.97

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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.