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Finding the Fourth Proportional to 3,780.88, 5,214.92 and 2,604.80

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Solution

The fourth proportional to 3,780.88, 5,214.92 and 2,604.80 is: 3,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.88 : 5,214.92 = 2,604.80 : x
  2. Step 2: Convert to fraction form
    3,780.88/5,214.92 = 2,604.80/x
  3. Step 3: Cross multiply
    3,780.88x = 5,214.92 × 2,604.80
  4. Step 4: Simplify right side
    3,780.88x = 13,583,823.62
  5. Step 5: Solve for x
    x = 13,583,823.62/3,780.88
  6. Step 6: Final answer
    x = 3,592.77

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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.