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Finding the Fourth Proportional to 5,459.66, 8,185.08 and 1,760.90

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Solution

The fourth proportional to 5,459.66, 8,185.08 and 1,760.90 is: 2,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.66 : 8,185.08 = 1,760.90 : x
  2. Step 2: Convert to fraction form
    5,459.66/8,185.08 = 1,760.90/x
  3. Step 3: Cross multiply
    5,459.66x = 8,185.08 × 1,760.90
  4. Step 4: Simplify right side
    5,459.66x = 14,413,107.37
  5. Step 5: Solve for x
    x = 14,413,107.37/5,459.66
  6. Step 6: Final answer
    x = 2,639.93

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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.