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Finding the Fourth Proportional to 3,477.44, 5,213.60 and 1,425.60

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Solution

The fourth proportional to 3,477.44, 5,213.60 and 1,425.60 is: 2,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.44 : 5,213.60 = 1,425.60 : x
  2. Step 2: Convert to fraction form
    3,477.44/5,213.60 = 1,425.60/x
  3. Step 3: Cross multiply
    3,477.44x = 5,213.60 × 1,425.60
  4. Step 4: Simplify right side
    3,477.44x = 7,432,508.16
  5. Step 5: Solve for x
    x = 7,432,508.16/3,477.44
  6. Step 6: Final answer
    x = 2,137.35

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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.