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Finding the Fourth Proportional to 6,051.78, 9,078.23 and 2,354.29

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Solution

The fourth proportional to 6,051.78, 9,078.23 and 2,354.29 is: 3,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.78 : 9,078.23 = 2,354.29 : x
  2. Step 2: Convert to fraction form
    6,051.78/9,078.23 = 2,354.29/x
  3. Step 3: Cross multiply
    6,051.78x = 9,078.23 × 2,354.29
  4. Step 4: Simplify right side
    6,051.78x = 21,372,786.11
  5. Step 5: Solve for x
    x = 21,372,786.11/6,051.78
  6. Step 6: Final answer
    x = 3,531.65

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