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Finding the Fourth Proportional to 5,041.56, 7,564.82 and 2,270.20

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Solution

The fourth proportional to 5,041.56, 7,564.82 and 2,270.20 is: 3,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.56 : 7,564.82 = 2,270.20 : x
  2. Step 2: Convert to fraction form
    5,041.56/7,564.82 = 2,270.20/x
  3. Step 3: Cross multiply
    5,041.56x = 7,564.82 × 2,270.20
  4. Step 4: Simplify right side
    5,041.56x = 17,173,654.36
  5. Step 5: Solve for x
    x = 17,173,654.36/5,041.56
  6. Step 6: Final answer
    x = 3,406.42

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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.