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Finding the Fourth Proportional to 3,865.64, 5,335.14 and 2,541.32

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Solution

The fourth proportional to 3,865.64, 5,335.14 and 2,541.32 is: 3,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.64 : 5,335.14 = 2,541.32 : x
  2. Step 2: Convert to fraction form
    3,865.64/5,335.14 = 2,541.32/x
  3. Step 3: Cross multiply
    3,865.64x = 5,335.14 × 2,541.32
  4. Step 4: Simplify right side
    3,865.64x = 13,558,297.98
  5. Step 5: Solve for x
    x = 13,558,297.98/3,865.64
  6. Step 6: Final answer
    x = 3,507.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.