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Finding the Fourth Proportional to 3,287.48, 4,533.24 and 2,578

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Solution

The fourth proportional to 3,287.48, 4,533.24 and 2,578 is: 3,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.48 : 4,533.24 = 2,578 : x
  2. Step 2: Convert to fraction form
    3,287.48/4,533.24 = 2,578/x
  3. Step 3: Cross multiply
    3,287.48x = 4,533.24 × 2,578
  4. Step 4: Simplify right side
    3,287.48x = 11,686,692.72
  5. Step 5: Solve for x
    x = 11,686,692.72/3,287.48
  6. Step 6: Final answer
    x = 3,554.91

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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.