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Finding the Fourth Proportional to 3,968.60, 5,475.24 and 2,475.24

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Solution

The fourth proportional to 3,968.60, 5,475.24 and 2,475.24 is: 3,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.60 : 5,475.24 = 2,475.24 : x
  2. Step 2: Convert to fraction form
    3,968.60/5,475.24 = 2,475.24/x
  3. Step 3: Cross multiply
    3,968.60x = 5,475.24 × 2,475.24
  4. Step 4: Simplify right side
    3,968.60x = 13,552,533.06
  5. Step 5: Solve for x
    x = 13,552,533.06/3,968.60
  6. Step 6: Final answer
    x = 3,414.94

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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.