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Finding the Fourth Proportional to 6,484.44, 9,720.58 and 3,518.54

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Solution

The fourth proportional to 6,484.44, 9,720.58 and 3,518.54 is: 5,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.44 : 9,720.58 = 3,518.54 : x
  2. Step 2: Convert to fraction form
    6,484.44/9,720.58 = 3,518.54/x
  3. Step 3: Cross multiply
    6,484.44x = 9,720.58 × 3,518.54
  4. Step 4: Simplify right side
    6,484.44x = 34,202,245.10
  5. Step 5: Solve for x
    x = 34,202,245.10/6,484.44
  6. Step 6: Final answer
    x = 5,274.51

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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.