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Finding the Fourth Proportional to 3,436.67, 4,744.64 and 2,259.77

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Solution

The fourth proportional to 3,436.67, 4,744.64 and 2,259.77 is: 3,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.67 : 4,744.64 = 2,259.77 : x
  2. Step 2: Convert to fraction form
    3,436.67/4,744.64 = 2,259.77/x
  3. Step 3: Cross multiply
    3,436.67x = 4,744.64 × 2,259.77
  4. Step 4: Simplify right side
    3,436.67x = 10,721,760.11
  5. Step 5: Solve for x
    x = 10,721,760.11/3,436.67
  6. Step 6: Final answer
    x = 3,119.82

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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.