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Finding the Fourth Proportional to 3,776.56, 5,663.76 and 1,467.52

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Solution

The fourth proportional to 3,776.56, 5,663.76 and 1,467.52 is: 2,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.56 : 5,663.76 = 1,467.52 : x
  2. Step 2: Convert to fraction form
    3,776.56/5,663.76 = 1,467.52/x
  3. Step 3: Cross multiply
    3,776.56x = 5,663.76 × 1,467.52
  4. Step 4: Simplify right side
    3,776.56x = 8,311,681.08
  5. Step 5: Solve for x
    x = 8,311,681.08/3,776.56
  6. Step 6: Final answer
    x = 2,200.86

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