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Finding the Fourth Proportional to 3,677.56, 5,516.54 and 1,178.96

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Solution

The fourth proportional to 3,677.56, 5,516.54 and 1,178.96 is: 1,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.56 : 5,516.54 = 1,178.96 : x
  2. Step 2: Convert to fraction form
    3,677.56/5,516.54 = 1,178.96/x
  3. Step 3: Cross multiply
    3,677.56x = 5,516.54 × 1,178.96
  4. Step 4: Simplify right side
    3,677.56x = 6,503,780.00
  5. Step 5: Solve for x
    x = 6,503,780.00/3,677.56
  6. Step 6: Final answer
    x = 1,768.50

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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.