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Finding the Fourth Proportional to 3,888.81, 5,366.57 and 2,120.40

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Solution

The fourth proportional to 3,888.81, 5,366.57 and 2,120.40 is: 2,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.81 : 5,366.57 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    3,888.81/5,366.57 = 2,120.40/x
  3. Step 3: Cross multiply
    3,888.81x = 5,366.57 × 2,120.40
  4. Step 4: Simplify right side
    3,888.81x = 11,379,264.43
  5. Step 5: Solve for x
    x = 11,379,264.43/3,888.81
  6. Step 6: Final answer
    x = 2,926.16

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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.