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Finding the Fourth Proportional to 3,780.54, 5,214.31 and 2,661.80

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Solution

The fourth proportional to 3,780.54, 5,214.31 and 2,661.80 is: 3,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.54 : 5,214.31 = 2,661.80 : x
  2. Step 2: Convert to fraction form
    3,780.54/5,214.31 = 2,661.80/x
  3. Step 3: Cross multiply
    3,780.54x = 5,214.31 × 2,661.80
  4. Step 4: Simplify right side
    3,780.54x = 13,879,417.63
  5. Step 5: Solve for x
    x = 13,879,417.63/3,780.54
  6. Step 6: Final answer
    x = 3,671.28

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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.