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Finding the Fourth Proportional to 4,980.24, 7,466.40 and 3,416.40

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Solution

The fourth proportional to 4,980.24, 7,466.40 and 3,416.40 is: 5,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.24 : 7,466.40 = 3,416.40 : x
  2. Step 2: Convert to fraction form
    4,980.24/7,466.40 = 3,416.40/x
  3. Step 3: Cross multiply
    4,980.24x = 7,466.40 × 3,416.40
  4. Step 4: Simplify right side
    4,980.24x = 25,508,208.96
  5. Step 5: Solve for x
    x = 25,508,208.96/4,980.24
  6. Step 6: Final answer
    x = 5,121.88

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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.