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Finding the Fourth Proportional to 5,409.94, 7,465.72 and 3,052.09

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Solution

The fourth proportional to 5,409.94, 7,465.72 and 3,052.09 is: 4,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.94 : 7,465.72 = 3,052.09 : x
  2. Step 2: Convert to fraction form
    5,409.94/7,465.72 = 3,052.09/x
  3. Step 3: Cross multiply
    5,409.94x = 7,465.72 × 3,052.09
  4. Step 4: Simplify right side
    5,409.94x = 22,786,049.35
  5. Step 5: Solve for x
    x = 22,786,049.35/5,409.94
  6. Step 6: Final answer
    x = 4,211.89

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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.