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Finding the Fourth Proportional to 3,705.54, 5,549.80 and 2,367.82

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Solution

The fourth proportional to 3,705.54, 5,549.80 and 2,367.82 is: 3,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.54 : 5,549.80 = 2,367.82 : x
  2. Step 2: Convert to fraction form
    3,705.54/5,549.80 = 2,367.82/x
  3. Step 3: Cross multiply
    3,705.54x = 5,549.80 × 2,367.82
  4. Step 4: Simplify right side
    3,705.54x = 13,140,927.44
  5. Step 5: Solve for x
    x = 13,140,927.44/3,705.54
  6. Step 6: Final answer
    x = 3,546.29

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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.