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Finding the Fourth Proportional to 5,274.37, 7,909.96 and 1,763.48

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Solution

The fourth proportional to 5,274.37, 7,909.96 and 1,763.48 is: 2,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.37 : 7,909.96 = 1,763.48 : x
  2. Step 2: Convert to fraction form
    5,274.37/7,909.96 = 1,763.48/x
  3. Step 3: Cross multiply
    5,274.37x = 7,909.96 × 1,763.48
  4. Step 4: Simplify right side
    5,274.37x = 13,949,030.44
  5. Step 5: Solve for x
    x = 13,949,030.44/5,274.37
  6. Step 6: Final answer
    x = 2,644.68

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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.