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Finding the Fourth Proportional to 5,346.88, 7,382.68 and 3,459.60

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Solution

The fourth proportional to 5,346.88, 7,382.68 and 3,459.60 is: 4,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.88 : 7,382.68 = 3,459.60 : x
  2. Step 2: Convert to fraction form
    5,346.88/7,382.68 = 3,459.60/x
  3. Step 3: Cross multiply
    5,346.88x = 7,382.68 × 3,459.60
  4. Step 4: Simplify right side
    5,346.88x = 25,541,119.73
  5. Step 5: Solve for x
    x = 25,541,119.73/5,346.88
  6. Step 6: Final answer
    x = 4,776.83

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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.