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Finding the Fourth Proportional to 3,166.79, 4,750.17 and 858.29

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Solution

The fourth proportional to 3,166.79, 4,750.17 and 858.29 is: 1,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.79 : 4,750.17 = 858.29 : x
  2. Step 2: Convert to fraction form
    3,166.79/4,750.17 = 858.29/x
  3. Step 3: Cross multiply
    3,166.79x = 4,750.17 × 858.29
  4. Step 4: Simplify right side
    3,166.79x = 4,076,999.66
  5. Step 5: Solve for x
    x = 4,076,999.66/3,166.79
  6. Step 6: Final answer
    x = 1,287.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.