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Finding the Fourth Proportional to 3,776.85, 5,663.79 and 1,435.61

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Solution

The fourth proportional to 3,776.85, 5,663.79 and 1,435.61 is: 2,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.85 : 5,663.79 = 1,435.61 : x
  2. Step 2: Convert to fraction form
    3,776.85/5,663.79 = 1,435.61/x
  3. Step 3: Cross multiply
    3,776.85x = 5,663.79 × 1,435.61
  4. Step 4: Simplify right side
    3,776.85x = 8,131,013.10
  5. Step 5: Solve for x
    x = 8,131,013.10/3,776.85
  6. Step 6: Final answer
    x = 2,152.86

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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.