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Finding the Fourth Proportional to 3,857.63, 5,322.29 and 2,364.80

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Solution

The fourth proportional to 3,857.63, 5,322.29 and 2,364.80 is: 3,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.63 : 5,322.29 = 2,364.80 : x
  2. Step 2: Convert to fraction form
    3,857.63/5,322.29 = 2,364.80/x
  3. Step 3: Cross multiply
    3,857.63x = 5,322.29 × 2,364.80
  4. Step 4: Simplify right side
    3,857.63x = 12,586,112.96
  5. Step 5: Solve for x
    x = 12,586,112.96/3,857.63
  6. Step 6: Final answer
    x = 3,262.66

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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.