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Finding the Fourth Proportional to 6,038.34, 8,348.31 and 4,553.88

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Solution

The fourth proportional to 6,038.34, 8,348.31 and 4,553.88 is: 6,295.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.34 : 8,348.31 = 4,553.88 : x
  2. Step 2: Convert to fraction form
    6,038.34/8,348.31 = 4,553.88/x
  3. Step 3: Cross multiply
    6,038.34x = 8,348.31 × 4,553.88
  4. Step 4: Simplify right side
    6,038.34x = 38,017,201.94
  5. Step 5: Solve for x
    x = 38,017,201.94/6,038.34
  6. Step 6: Final answer
    x = 6,295.97

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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.