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Finding the Fourth Proportional to 3,509.33, 5,262.86 and 1,864.94

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Solution

The fourth proportional to 3,509.33, 5,262.86 and 1,864.94 is: 2,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.33 : 5,262.86 = 1,864.94 : x
  2. Step 2: Convert to fraction form
    3,509.33/5,262.86 = 1,864.94/x
  3. Step 3: Cross multiply
    3,509.33x = 5,262.86 × 1,864.94
  4. Step 4: Simplify right side
    3,509.33x = 9,814,882.49
  5. Step 5: Solve for x
    x = 9,814,882.49/3,509.33
  6. Step 6: Final answer
    x = 2,796.80

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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.