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Finding the Fourth Proportional to 3,885.66, 5,826.55 and 2,305.99

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Solution

The fourth proportional to 3,885.66, 5,826.55 and 2,305.99 is: 3,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.66 : 5,826.55 = 2,305.99 : x
  2. Step 2: Convert to fraction form
    3,885.66/5,826.55 = 2,305.99/x
  3. Step 3: Cross multiply
    3,885.66x = 5,826.55 × 2,305.99
  4. Step 4: Simplify right side
    3,885.66x = 13,435,966.03
  5. Step 5: Solve for x
    x = 13,435,966.03/3,885.66
  6. Step 6: Final answer
    x = 3,457.83

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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.