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Finding the Fourth Proportional to 5,262.05, 7,262.25 and 3,024.02

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Solution

The fourth proportional to 5,262.05, 7,262.25 and 3,024.02 is: 4,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.05 : 7,262.25 = 3,024.02 : x
  2. Step 2: Convert to fraction form
    5,262.05/7,262.25 = 3,024.02/x
  3. Step 3: Cross multiply
    5,262.05x = 7,262.25 × 3,024.02
  4. Step 4: Simplify right side
    5,262.05x = 21,961,189.25
  5. Step 5: Solve for x
    x = 21,961,189.25/5,262.05
  6. Step 6: Final answer
    x = 4,173.50

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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.