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Finding the Fourth Proportional to 3,855.65, 5,320.66 and 2,177.20

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Solution

The fourth proportional to 3,855.65, 5,320.66 and 2,177.20 is: 3,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.65 : 5,320.66 = 2,177.20 : x
  2. Step 2: Convert to fraction form
    3,855.65/5,320.66 = 2,177.20/x
  3. Step 3: Cross multiply
    3,855.65x = 5,320.66 × 2,177.20
  4. Step 4: Simplify right side
    3,855.65x = 11,584,167.33
  5. Step 5: Solve for x
    x = 11,584,167.33/3,855.65
  6. Step 6: Final answer
    x = 3,004.46

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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.