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Finding the Fourth Proportional to 3,486.49, 5,228.37 and 1,264.80

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Solution

The fourth proportional to 3,486.49, 5,228.37 and 1,264.80 is: 1,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.49 : 5,228.37 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    3,486.49/5,228.37 = 1,264.80/x
  3. Step 3: Cross multiply
    3,486.49x = 5,228.37 × 1,264.80
  4. Step 4: Simplify right side
    3,486.49x = 6,612,842.38
  5. Step 5: Solve for x
    x = 6,612,842.38/3,486.49
  6. Step 6: Final answer
    x = 1,896.70

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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.