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Finding the Fourth Proportional to 3,670.05, 5,506.21 and 1,072.98

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Solution

The fourth proportional to 3,670.05, 5,506.21 and 1,072.98 is: 1,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.05 : 5,506.21 = 1,072.98 : x
  2. Step 2: Convert to fraction form
    3,670.05/5,506.21 = 1,072.98/x
  3. Step 3: Cross multiply
    3,670.05x = 5,506.21 × 1,072.98
  4. Step 4: Simplify right side
    3,670.05x = 5,908,053.21
  5. Step 5: Solve for x
    x = 5,908,053.21/3,670.05
  6. Step 6: Final answer
    x = 1,609.80

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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.