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Finding the Fourth Proportional to 3,235.70, 4,459.89 and 2,290.28

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Solution

The fourth proportional to 3,235.70, 4,459.89 and 2,290.28 is: 3,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.70 : 4,459.89 = 2,290.28 : x
  2. Step 2: Convert to fraction form
    3,235.70/4,459.89 = 2,290.28/x
  3. Step 3: Cross multiply
    3,235.70x = 4,459.89 × 2,290.28
  4. Step 4: Simplify right side
    3,235.70x = 10,214,379.99
  5. Step 5: Solve for x
    x = 10,214,379.99/3,235.70
  6. Step 6: Final answer
    x = 3,156.78

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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.