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Finding the Fourth Proportional to 3,466.48, 5,209.44 and 1,736.32

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Solution

The fourth proportional to 3,466.48, 5,209.44 and 1,736.32 is: 2,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.48 : 5,209.44 = 1,736.32 : x
  2. Step 2: Convert to fraction form
    3,466.48/5,209.44 = 1,736.32/x
  3. Step 3: Cross multiply
    3,466.48x = 5,209.44 × 1,736.32
  4. Step 4: Simplify right side
    3,466.48x = 9,045,254.86
  5. Step 5: Solve for x
    x = 9,045,254.86/3,466.48
  6. Step 6: Final answer
    x = 2,609.35

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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.