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Finding the Fourth Proportional to 5,262.05, 7,893.46 and 1,513.68

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Solution

The fourth proportional to 5,262.05, 7,893.46 and 1,513.68 is: 2,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.05 : 7,893.46 = 1,513.68 : x
  2. Step 2: Convert to fraction form
    5,262.05/7,893.46 = 1,513.68/x
  3. Step 3: Cross multiply
    5,262.05x = 7,893.46 × 1,513.68
  4. Step 4: Simplify right side
    5,262.05x = 11,948,162.46
  5. Step 5: Solve for x
    x = 11,948,162.46/5,262.05
  6. Step 6: Final answer
    x = 2,270.63

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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.