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Finding the Fourth Proportional to 3,466.92, 4,804.40 and 3,401.28

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Solution

The fourth proportional to 3,466.92, 4,804.40 and 3,401.28 is: 4,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.92 : 4,804.40 = 3,401.28 : x
  2. Step 2: Convert to fraction form
    3,466.92/4,804.40 = 3,401.28/x
  3. Step 3: Cross multiply
    3,466.92x = 4,804.40 × 3,401.28
  4. Step 4: Simplify right side
    3,466.92x = 16,341,109.63
  5. Step 5: Solve for x
    x = 16,341,109.63/3,466.92
  6. Step 6: Final answer
    x = 4,713.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.