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Finding the Fourth Proportional to 6,484.64, 8,949.02 and 3,652.06

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Solution

The fourth proportional to 6,484.64, 8,949.02 and 3,652.06 is: 5,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.64 : 8,949.02 = 3,652.06 : x
  2. Step 2: Convert to fraction form
    6,484.64/8,949.02 = 3,652.06/x
  3. Step 3: Cross multiply
    6,484.64x = 8,949.02 × 3,652.06
  4. Step 4: Simplify right side
    6,484.64x = 32,682,339.72
  5. Step 5: Solve for x
    x = 32,682,339.72/6,484.64
  6. Step 6: Final answer
    x = 5,039.97

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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.