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Finding the Fourth Proportional to 3,780.99, 5,671.46 and 1,472.49

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Solution

The fourth proportional to 3,780.99, 5,671.46 and 1,472.49 is: 2,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.99 : 5,671.46 = 1,472.49 : x
  2. Step 2: Convert to fraction form
    3,780.99/5,671.46 = 1,472.49/x
  3. Step 3: Cross multiply
    3,780.99x = 5,671.46 × 1,472.49
  4. Step 4: Simplify right side
    3,780.99x = 8,351,160.77
  5. Step 5: Solve for x
    x = 8,351,160.77/3,780.99
  6. Step 6: Final answer
    x = 2,208.72

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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.