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Finding the Fourth Proportional to 6,484.56, 8,949.54 and 3,652.48

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Solution

The fourth proportional to 6,484.56, 8,949.54 and 3,652.48 is: 5,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.56 : 8,949.54 = 3,652.48 : x
  2. Step 2: Convert to fraction form
    6,484.56/8,949.54 = 3,652.48/x
  3. Step 3: Cross multiply
    6,484.56x = 8,949.54 × 3,652.48
  4. Step 4: Simplify right side
    6,484.56x = 32,688,015.86
  5. Step 5: Solve for x
    x = 32,688,015.86/6,484.56
  6. Step 6: Final answer
    x = 5,040.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.