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Finding the Fourth Proportional to 3,416.67, 4,714.70 and 2,090.16

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Solution

The fourth proportional to 3,416.67, 4,714.70 and 2,090.16 is: 2,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.67 : 4,714.70 = 2,090.16 : x
  2. Step 2: Convert to fraction form
    3,416.67/4,714.70 = 2,090.16/x
  3. Step 3: Cross multiply
    3,416.67x = 4,714.70 × 2,090.16
  4. Step 4: Simplify right side
    3,416.67x = 9,854,466.90
  5. Step 5: Solve for x
    x = 9,854,466.90/3,416.67
  6. Step 6: Final answer
    x = 2,884.23

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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.