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Finding the Fourth Proportional to 3,855.21, 5,320.67 and 2,363.33

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Solution

The fourth proportional to 3,855.21, 5,320.67 and 2,363.33 is: 3,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.21 : 5,320.67 = 2,363.33 : x
  2. Step 2: Convert to fraction form
    3,855.21/5,320.67 = 2,363.33/x
  3. Step 3: Cross multiply
    3,855.21x = 5,320.67 × 2,363.33
  4. Step 4: Simplify right side
    3,855.21x = 12,574,460.61
  5. Step 5: Solve for x
    x = 12,574,460.61/3,855.21
  6. Step 6: Final answer
    x = 3,261.68

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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.