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Finding the Fourth Proportional to 3,670.56, 5,506.13 and 1,331.95

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Solution

The fourth proportional to 3,670.56, 5,506.13 and 1,331.95 is: 1,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.56 : 5,506.13 = 1,331.95 : x
  2. Step 2: Convert to fraction form
    3,670.56/5,506.13 = 1,331.95/x
  3. Step 3: Cross multiply
    3,670.56x = 5,506.13 × 1,331.95
  4. Step 4: Simplify right side
    3,670.56x = 7,333,889.85
  5. Step 5: Solve for x
    x = 7,333,889.85/3,670.56
  6. Step 6: Final answer
    x = 1,998.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.