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Finding the Fourth Proportional to 3,857.40, 5,322.96 and 2,460

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Solution

The fourth proportional to 3,857.40, 5,322.96 and 2,460 is: 3,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.40 : 5,322.96 = 2,460 : x
  2. Step 2: Convert to fraction form
    3,857.40/5,322.96 = 2,460/x
  3. Step 3: Cross multiply
    3,857.40x = 5,322.96 × 2,460
  4. Step 4: Simplify right side
    3,857.40x = 13,094,481.60
  5. Step 5: Solve for x
    x = 13,094,481.60/3,857.40
  6. Step 6: Final answer
    x = 3,394.64

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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.