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Finding the Fourth Proportional to 3,855.60, 5,320.71 and 2,177

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Solution

The fourth proportional to 3,855.60, 5,320.71 and 2,177 is: 3,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.60 : 5,320.71 = 2,177 : x
  2. Step 2: Convert to fraction form
    3,855.60/5,320.71 = 2,177/x
  3. Step 3: Cross multiply
    3,855.60x = 5,320.71 × 2,177
  4. Step 4: Simplify right side
    3,855.60x = 11,583,174.79
  5. Step 5: Solve for x
    x = 11,583,174.79/3,855.60
  6. Step 6: Final answer
    x = 3,004.25

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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.