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Finding the Fourth Proportional to 3,661.40, 5,052.77 and 2,046.32

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Solution

The fourth proportional to 3,661.40, 5,052.77 and 2,046.32 is: 2,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.40 : 5,052.77 = 2,046.32 : x
  2. Step 2: Convert to fraction form
    3,661.40/5,052.77 = 2,046.32/x
  3. Step 3: Cross multiply
    3,661.40x = 5,052.77 × 2,046.32
  4. Step 4: Simplify right side
    3,661.40x = 10,339,548.81
  5. Step 5: Solve for x
    x = 10,339,548.81/3,661.40
  6. Step 6: Final answer
    x = 2,823.94

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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.