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Finding the Fourth Proportional to 5,825.38, 8,736.30 and 1,665.10

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Solution

The fourth proportional to 5,825.38, 8,736.30 and 1,665.10 is: 2,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.38 : 8,736.30 = 1,665.10 : x
  2. Step 2: Convert to fraction form
    5,825.38/8,736.30 = 1,665.10/x
  3. Step 3: Cross multiply
    5,825.38x = 8,736.30 × 1,665.10
  4. Step 4: Simplify right side
    5,825.38x = 14,546,813.13
  5. Step 5: Solve for x
    x = 14,546,813.13/5,825.38
  6. Step 6: Final answer
    x = 2,497.14

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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.