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Finding the Fourth Proportional to 3,855.68, 5,315.55 and 2,438.66

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Solution

The fourth proportional to 3,855.68, 5,315.55 and 2,438.66 is: 3,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.68 : 5,315.55 = 2,438.66 : x
  2. Step 2: Convert to fraction form
    3,855.68/5,315.55 = 2,438.66/x
  3. Step 3: Cross multiply
    3,855.68x = 5,315.55 × 2,438.66
  4. Step 4: Simplify right side
    3,855.68x = 12,962,832.45
  5. Step 5: Solve for x
    x = 12,962,832.45/3,855.68
  6. Step 6: Final answer
    x = 3,362.01

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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.