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Finding the Fourth Proportional to 6,558.71, 9,050.04 and 3,906.05

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Solution

The fourth proportional to 6,558.71, 9,050.04 and 3,906.05 is: 5,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.71 : 9,050.04 = 3,906.05 : x
  2. Step 2: Convert to fraction form
    6,558.71/9,050.04 = 3,906.05/x
  3. Step 3: Cross multiply
    6,558.71x = 9,050.04 × 3,906.05
  4. Step 4: Simplify right side
    6,558.71x = 35,349,863.49
  5. Step 5: Solve for x
    x = 35,349,863.49/6,558.71
  6. Step 6: Final answer
    x = 5,389.76

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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.