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Finding the Fourth Proportional to 3,888.64, 5,366.29 and 2,120.26

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Solution

The fourth proportional to 3,888.64, 5,366.29 and 2,120.26 is: 2,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.64 : 5,366.29 = 2,120.26 : x
  2. Step 2: Convert to fraction form
    3,888.64/5,366.29 = 2,120.26/x
  3. Step 3: Cross multiply
    3,888.64x = 5,366.29 × 2,120.26
  4. Step 4: Simplify right side
    3,888.64x = 11,377,930.04
  5. Step 5: Solve for x
    x = 11,377,930.04/3,888.64
  6. Step 6: Final answer
    x = 2,925.94

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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.