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Finding the Fourth Proportional to 5,393.60, 8,089.80 and 1,882.94

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Solution

The fourth proportional to 5,393.60, 8,089.80 and 1,882.94 is: 2,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.60 : 8,089.80 = 1,882.94 : x
  2. Step 2: Convert to fraction form
    5,393.60/8,089.80 = 1,882.94/x
  3. Step 3: Cross multiply
    5,393.60x = 8,089.80 × 1,882.94
  4. Step 4: Simplify right side
    5,393.60x = 15,232,608.01
  5. Step 5: Solve for x
    x = 15,232,608.01/5,393.60
  6. Step 6: Final answer
    x = 2,824.20

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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.