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Finding the Fourth Proportional to 3,853.50, 5,317.83 and 2,197.50

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Solution

The fourth proportional to 3,853.50, 5,317.83 and 2,197.50 is: 3,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.50 : 5,317.83 = 2,197.50 : x
  2. Step 2: Convert to fraction form
    3,853.50/5,317.83 = 2,197.50/x
  3. Step 3: Cross multiply
    3,853.50x = 5,317.83 × 2,197.50
  4. Step 4: Simplify right side
    3,853.50x = 11,685,931.43
  5. Step 5: Solve for x
    x = 11,685,931.43/3,853.50
  6. Step 6: Final answer
    x = 3,032.55

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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.