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Finding the Fourth Proportional to 3,776.34, 5,663.52 and 1,404.22

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Solution

The fourth proportional to 3,776.34, 5,663.52 and 1,404.22 is: 2,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.34 : 5,663.52 = 1,404.22 : x
  2. Step 2: Convert to fraction form
    3,776.34/5,663.52 = 1,404.22/x
  3. Step 3: Cross multiply
    3,776.34x = 5,663.52 × 1,404.22
  4. Step 4: Simplify right side
    3,776.34x = 7,952,828.05
  5. Step 5: Solve for x
    x = 7,952,828.05/3,776.34
  6. Step 6: Final answer
    x = 2,105.96

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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.