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Finding the Fourth Proportional to 3,664.25, 5,491.63 and 2,347.49

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Solution

The fourth proportional to 3,664.25, 5,491.63 and 2,347.49 is: 3,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.25 : 5,491.63 = 2,347.49 : x
  2. Step 2: Convert to fraction form
    3,664.25/5,491.63 = 2,347.49/x
  3. Step 3: Cross multiply
    3,664.25x = 5,491.63 × 2,347.49
  4. Step 4: Simplify right side
    3,664.25x = 12,891,563.17
  5. Step 5: Solve for x
    x = 12,891,563.17/3,664.25
  6. Step 6: Final answer
    x = 3,518.20

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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.