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Finding the Fourth Proportional to 5,274.87, 7,912.02 and 1,577.13

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Solution

The fourth proportional to 5,274.87, 7,912.02 and 1,577.13 is: 2,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.87 : 7,912.02 = 1,577.13 : x
  2. Step 2: Convert to fraction form
    5,274.87/7,912.02 = 1,577.13/x
  3. Step 3: Cross multiply
    5,274.87x = 7,912.02 × 1,577.13
  4. Step 4: Simplify right side
    5,274.87x = 12,478,284.10
  5. Step 5: Solve for x
    x = 12,478,284.10/5,274.87
  6. Step 6: Final answer
    x = 2,365.61

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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.