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Finding the Fourth Proportional to 3,964.34, 5,465.60 and 3,410.75

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Solution

The fourth proportional to 3,964.34, 5,465.60 and 3,410.75 is: 4,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.34 : 5,465.60 = 3,410.75 : x
  2. Step 2: Convert to fraction form
    3,964.34/5,465.60 = 3,410.75/x
  3. Step 3: Cross multiply
    3,964.34x = 5,465.60 × 3,410.75
  4. Step 4: Simplify right side
    3,964.34x = 18,641,804.60
  5. Step 5: Solve for x
    x = 18,641,804.60/3,964.34
  6. Step 6: Final answer
    x = 4,702.38

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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.