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Finding the Fourth Proportional to 5,853.75, 8,779.96 and 1,471.22

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Solution

The fourth proportional to 5,853.75, 8,779.96 and 1,471.22 is: 2,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.75 : 8,779.96 = 1,471.22 : x
  2. Step 2: Convert to fraction form
    5,853.75/8,779.96 = 1,471.22/x
  3. Step 3: Cross multiply
    5,853.75x = 8,779.96 × 1,471.22
  4. Step 4: Simplify right side
    5,853.75x = 12,917,252.75
  5. Step 5: Solve for x
    x = 12,917,252.75/5,853.75
  6. Step 6: Final answer
    x = 2,206.66

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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.