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Finding the Fourth Proportional to 4,019.42, 6,026.91 and 1,826.96

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Solution

The fourth proportional to 4,019.42, 6,026.91 and 1,826.96 is: 2,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.42 : 6,026.91 = 1,826.96 : x
  2. Step 2: Convert to fraction form
    4,019.42/6,026.91 = 1,826.96/x
  3. Step 3: Cross multiply
    4,019.42x = 6,026.91 × 1,826.96
  4. Step 4: Simplify right side
    4,019.42x = 11,010,886.51
  5. Step 5: Solve for x
    x = 11,010,886.51/4,019.42
  6. Step 6: Final answer
    x = 2,739.42

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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.