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Finding the Fourth Proportional to 3,137.54, 4,329.34 and 1,878.30

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Solution

The fourth proportional to 3,137.54, 4,329.34 and 1,878.30 is: 2,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.54 : 4,329.34 = 1,878.30 : x
  2. Step 2: Convert to fraction form
    3,137.54/4,329.34 = 1,878.30/x
  3. Step 3: Cross multiply
    3,137.54x = 4,329.34 × 1,878.30
  4. Step 4: Simplify right side
    3,137.54x = 8,131,799.32
  5. Step 5: Solve for x
    x = 8,131,799.32/3,137.54
  6. Step 6: Final answer
    x = 2,591.78

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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.