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Finding the Fourth Proportional to 3,776.76, 5,674.32 and 3,675.24

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Solution

The fourth proportional to 3,776.76, 5,674.32 and 3,675.24 is: 5,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.76 : 5,674.32 = 3,675.24 : x
  2. Step 2: Convert to fraction form
    3,776.76/5,674.32 = 3,675.24/x
  3. Step 3: Cross multiply
    3,776.76x = 5,674.32 × 3,675.24
  4. Step 4: Simplify right side
    3,776.76x = 20,854,487.84
  5. Step 5: Solve for x
    x = 20,854,487.84/3,776.76
  6. Step 6: Final answer
    x = 5,521.79

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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.