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Finding the Fourth Proportional to 3,669.12, 5,502.60 and 1,072.08

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Solution

The fourth proportional to 3,669.12, 5,502.60 and 1,072.08 is: 1,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.12 : 5,502.60 = 1,072.08 : x
  2. Step 2: Convert to fraction form
    3,669.12/5,502.60 = 1,072.08/x
  3. Step 3: Cross multiply
    3,669.12x = 5,502.60 × 1,072.08
  4. Step 4: Simplify right side
    3,669.12x = 5,899,227.41
  5. Step 5: Solve for x
    x = 5,899,227.41/3,669.12
  6. Step 6: Final answer
    x = 1,607.80

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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.