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Finding the Fourth Proportional to 3,416.88, 4,714.43 and 2,090.10

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Solution

The fourth proportional to 3,416.88, 4,714.43 and 2,090.10 is: 2,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.88 : 4,714.43 = 2,090.10 : x
  2. Step 2: Convert to fraction form
    3,416.88/4,714.43 = 2,090.10/x
  3. Step 3: Cross multiply
    3,416.88x = 4,714.43 × 2,090.10
  4. Step 4: Simplify right side
    3,416.88x = 9,853,619.69
  5. Step 5: Solve for x
    x = 9,853,619.69/3,416.88
  6. Step 6: Final answer
    x = 2,883.81

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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.