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Finding the Fourth Proportional to 3,785.50, 5,224.49 and 2,293.98

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Solution

The fourth proportional to 3,785.50, 5,224.49 and 2,293.98 is: 3,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.50 : 5,224.49 = 2,293.98 : x
  2. Step 2: Convert to fraction form
    3,785.50/5,224.49 = 2,293.98/x
  3. Step 3: Cross multiply
    3,785.50x = 5,224.49 × 2,293.98
  4. Step 4: Simplify right side
    3,785.50x = 11,984,875.57
  5. Step 5: Solve for x
    x = 11,984,875.57/3,785.50
  6. Step 6: Final answer
    x = 3,166.00

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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.