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Finding the Fourth Proportional to 3,467.56, 5,201.60 and 1,002.40

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Solution

The fourth proportional to 3,467.56, 5,201.60 and 1,002.40 is: 1,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.56 : 5,201.60 = 1,002.40 : x
  2. Step 2: Convert to fraction form
    3,467.56/5,201.60 = 1,002.40/x
  3. Step 3: Cross multiply
    3,467.56x = 5,201.60 × 1,002.40
  4. Step 4: Simplify right side
    3,467.56x = 5,214,083.84
  5. Step 5: Solve for x
    x = 5,214,083.84/3,467.56
  6. Step 6: Final answer
    x = 1,503.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.