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Finding the Fourth Proportional to 3,416.51, 4,713.91 and 2,089.73

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Solution

The fourth proportional to 3,416.51, 4,713.91 and 2,089.73 is: 2,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.51 : 4,713.91 = 2,089.73 : x
  2. Step 2: Convert to fraction form
    3,416.51/4,713.91 = 2,089.73/x
  3. Step 3: Cross multiply
    3,416.51x = 4,713.91 × 2,089.73
  4. Step 4: Simplify right side
    3,416.51x = 9,850,770.35
  5. Step 5: Solve for x
    x = 9,850,770.35/3,416.51
  6. Step 6: Final answer
    x = 2,883.29

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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.