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Finding the Fourth Proportional to 5,262.89, 7,262.44 and 3,023.20

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Solution

The fourth proportional to 5,262.89, 7,262.44 and 3,023.20 is: 4,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.89 : 7,262.44 = 3,023.20 : x
  2. Step 2: Convert to fraction form
    5,262.89/7,262.44 = 3,023.20/x
  3. Step 3: Cross multiply
    5,262.89x = 7,262.44 × 3,023.20
  4. Step 4: Simplify right side
    5,262.89x = 21,955,808.61
  5. Step 5: Solve for x
    x = 21,955,808.61/5,262.89
  6. Step 6: Final answer
    x = 4,171.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.