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Finding the Fourth Proportional to 5,090.28, 7,635.78 and 1,392.78

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Solution

The fourth proportional to 5,090.28, 7,635.78 and 1,392.78 is: 2,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.28 : 7,635.78 = 1,392.78 : x
  2. Step 2: Convert to fraction form
    5,090.28/7,635.78 = 1,392.78/x
  3. Step 3: Cross multiply
    5,090.28x = 7,635.78 × 1,392.78
  4. Step 4: Simplify right side
    5,090.28x = 10,634,961.67
  5. Step 5: Solve for x
    x = 10,634,961.67/5,090.28
  6. Step 6: Final answer
    x = 2,089.27

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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.