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Finding the Fourth Proportional to 5,367.78, 8,051.67 and 1,670.04

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Solution

The fourth proportional to 5,367.78, 8,051.67 and 1,670.04 is: 2,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.78 : 8,051.67 = 1,670.04 : x
  2. Step 2: Convert to fraction form
    5,367.78/8,051.67 = 1,670.04/x
  3. Step 3: Cross multiply
    5,367.78x = 8,051.67 × 1,670.04
  4. Step 4: Simplify right side
    5,367.78x = 13,446,610.97
  5. Step 5: Solve for x
    x = 13,446,610.97/5,367.78
  6. Step 6: Final answer
    x = 2,505.06

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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.