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Finding the Fourth Proportional to 3,675.56, 5,513.54 and 1,176.96

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Solution

The fourth proportional to 3,675.56, 5,513.54 and 1,176.96 is: 1,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.56 : 5,513.54 = 1,176.96 : x
  2. Step 2: Convert to fraction form
    3,675.56/5,513.54 = 1,176.96/x
  3. Step 3: Cross multiply
    3,675.56x = 5,513.54 × 1,176.96
  4. Step 4: Simplify right side
    3,675.56x = 6,489,210.15
  5. Step 5: Solve for x
    x = 6,489,210.15/3,675.56
  6. Step 6: Final answer
    x = 1,765.50

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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.