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Finding the Fourth Proportional to 4,542.84, 6,269.85 and 3,785.41

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Solution

The fourth proportional to 4,542.84, 6,269.85 and 3,785.41 is: 5,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.84 : 6,269.85 = 3,785.41 : x
  2. Step 2: Convert to fraction form
    4,542.84/6,269.85 = 3,785.41/x
  3. Step 3: Cross multiply
    4,542.84x = 6,269.85 × 3,785.41
  4. Step 4: Simplify right side
    4,542.84x = 23,733,952.89
  5. Step 5: Solve for x
    x = 23,733,952.89/4,542.84
  6. Step 6: Final answer
    x = 5,224.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.