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Finding the Fourth Proportional to 6,038.75, 8,336.72 and 4,709.27

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Solution

The fourth proportional to 6,038.75, 8,336.72 and 4,709.27 is: 6,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.75 : 8,336.72 = 4,709.27 : x
  2. Step 2: Convert to fraction form
    6,038.75/8,336.72 = 4,709.27/x
  3. Step 3: Cross multiply
    6,038.75x = 8,336.72 × 4,709.27
  4. Step 4: Simplify right side
    6,038.75x = 39,259,865.39
  5. Step 5: Solve for x
    x = 39,259,865.39/6,038.75
  6. Step 6: Final answer
    x = 6,501.32

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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.