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Finding the Fourth Proportional to 3,408.91, 4,705.50 and 2,289.22

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Solution

The fourth proportional to 3,408.91, 4,705.50 and 2,289.22 is: 3,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.91 : 4,705.50 = 2,289.22 : x
  2. Step 2: Convert to fraction form
    3,408.91/4,705.50 = 2,289.22/x
  3. Step 3: Cross multiply
    3,408.91x = 4,705.50 × 2,289.22
  4. Step 4: Simplify right side
    3,408.91x = 10,771,924.71
  5. Step 5: Solve for x
    x = 10,771,924.71/3,408.91
  6. Step 6: Final answer
    x = 3,159.93

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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.