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Finding the Fourth Proportional to 3,415.72, 4,714.05 and 2,090.31

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Solution

The fourth proportional to 3,415.72, 4,714.05 and 2,090.31 is: 2,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.72 : 4,714.05 = 2,090.31 : x
  2. Step 2: Convert to fraction form
    3,415.72/4,714.05 = 2,090.31/x
  3. Step 3: Cross multiply
    3,415.72x = 4,714.05 × 2,090.31
  4. Step 4: Simplify right side
    3,415.72x = 9,853,804.26
  5. Step 5: Solve for x
    x = 9,853,804.26/3,415.72
  6. Step 6: Final answer
    x = 2,884.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.