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Finding the Fourth Proportional to 3,788.10, 5,228.04 and 2,295.98

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Solution

The fourth proportional to 3,788.10, 5,228.04 and 2,295.98 is: 3,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.10 : 5,228.04 = 2,295.98 : x
  2. Step 2: Convert to fraction form
    3,788.10/5,228.04 = 2,295.98/x
  3. Step 3: Cross multiply
    3,788.10x = 5,228.04 × 2,295.98
  4. Step 4: Simplify right side
    3,788.10x = 12,003,475.28
  5. Step 5: Solve for x
    x = 12,003,475.28/3,788.10
  6. Step 6: Final answer
    x = 3,168.73

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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.