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Finding the Fourth Proportional to 3,830.94, 5,286.65 and 2,152.31

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Solution

The fourth proportional to 3,830.94, 5,286.65 and 2,152.31 is: 2,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.94 : 5,286.65 = 2,152.31 : x
  2. Step 2: Convert to fraction form
    3,830.94/5,286.65 = 2,152.31/x
  3. Step 3: Cross multiply
    3,830.94x = 5,286.65 × 2,152.31
  4. Step 4: Simplify right side
    3,830.94x = 11,378,509.66
  5. Step 5: Solve for x
    x = 11,378,509.66/3,830.94
  6. Step 6: Final answer
    x = 2,970.16

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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.