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Finding the Fourth Proportional to 3,416.00, 4,713.05 and 1,999.31

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Solution

The fourth proportional to 3,416.00, 4,713.05 and 1,999.31 is: 2,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.00 : 4,713.05 = 1,999.31 : x
  2. Step 2: Convert to fraction form
    3,416.00/4,713.05 = 1,999.31/x
  3. Step 3: Cross multiply
    3,416.00x = 4,713.05 × 1,999.31
  4. Step 4: Simplify right side
    3,416.00x = 9,422,829.43
  5. Step 5: Solve for x
    x = 9,422,829.43/3,416.00
  6. Step 6: Final answer
    x = 2,758.44

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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.