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Finding the Fourth Proportional to 3,878.10, 5,804.67 and 2,709.54

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Solution

The fourth proportional to 3,878.10, 5,804.67 and 2,709.54 is: 4,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.10 : 5,804.67 = 2,709.54 : x
  2. Step 2: Convert to fraction form
    3,878.10/5,804.67 = 2,709.54/x
  3. Step 3: Cross multiply
    3,878.10x = 5,804.67 × 2,709.54
  4. Step 4: Simplify right side
    3,878.10x = 15,727,985.55
  5. Step 5: Solve for x
    x = 15,727,985.55/3,878.10
  6. Step 6: Final answer
    x = 4,055.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.