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Finding the Fourth Proportional to 6,038.08, 8,321.52 and 4,149.76

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Solution

The fourth proportional to 6,038.08, 8,321.52 and 4,149.76 is: 5,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.08 : 8,321.52 = 4,149.76 : x
  2. Step 2: Convert to fraction form
    6,038.08/8,321.52 = 4,149.76/x
  3. Step 3: Cross multiply
    6,038.08x = 8,321.52 × 4,149.76
  4. Step 4: Simplify right side
    6,038.08x = 34,532,310.84
  5. Step 5: Solve for x
    x = 34,532,310.84/6,038.08
  6. Step 6: Final answer
    x = 5,719.09

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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.