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Finding the Fourth Proportional to 3,780.88, 5,215.80 and 2,940.10

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Solution

The fourth proportional to 3,780.88, 5,215.80 and 2,940.10 is: 4,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.88 : 5,215.80 = 2,940.10 : x
  2. Step 2: Convert to fraction form
    3,780.88/5,215.80 = 2,940.10/x
  3. Step 3: Cross multiply
    3,780.88x = 5,215.80 × 2,940.10
  4. Step 4: Simplify right side
    3,780.88x = 15,334,973.58
  5. Step 5: Solve for x
    x = 15,334,973.58/3,780.88
  6. Step 6: Final answer
    x = 4,055.93

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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.