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Finding the Fourth Proportional to 3,664.49, 5,495.36 and 1,472.47

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Solution

The fourth proportional to 3,664.49, 5,495.36 and 1,472.47 is: 2,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.49 : 5,495.36 = 1,472.47 : x
  2. Step 2: Convert to fraction form
    3,664.49/5,495.36 = 1,472.47/x
  3. Step 3: Cross multiply
    3,664.49x = 5,495.36 × 1,472.47
  4. Step 4: Simplify right side
    3,664.49x = 8,091,731.64
  5. Step 5: Solve for x
    x = 8,091,731.64/3,664.49
  6. Step 6: Final answer
    x = 2,208.15

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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.