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Finding the Fourth Proportional to 3,507.45, 5,262.99 and 1,428.99

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Solution

The fourth proportional to 3,507.45, 5,262.99 and 1,428.99 is: 2,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.45 : 5,262.99 = 1,428.99 : x
  2. Step 2: Convert to fraction form
    3,507.45/5,262.99 = 1,428.99/x
  3. Step 3: Cross multiply
    3,507.45x = 5,262.99 × 1,428.99
  4. Step 4: Simplify right side
    3,507.45x = 7,520,760.08
  5. Step 5: Solve for x
    x = 7,520,760.08/3,507.45
  6. Step 6: Final answer
    x = 2,144.22

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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.