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Finding the Fourth Proportional to 3,878.46, 5,815.98 and 1,245.51

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Solution

The fourth proportional to 3,878.46, 5,815.98 and 1,245.51 is: 1,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.46 : 5,815.98 = 1,245.51 : x
  2. Step 2: Convert to fraction form
    3,878.46/5,815.98 = 1,245.51/x
  3. Step 3: Cross multiply
    3,878.46x = 5,815.98 × 1,245.51
  4. Step 4: Simplify right side
    3,878.46x = 7,243,861.25
  5. Step 5: Solve for x
    x = 7,243,861.25/3,878.46
  6. Step 6: Final answer
    x = 1,867.72

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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.