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Finding the Fourth Proportional to 5,841.86, 8,763.06 and 2,142.32

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Solution

The fourth proportional to 5,841.86, 8,763.06 and 2,142.32 is: 3,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.86 : 8,763.06 = 2,142.32 : x
  2. Step 2: Convert to fraction form
    5,841.86/8,763.06 = 2,142.32/x
  3. Step 3: Cross multiply
    5,841.86x = 8,763.06 × 2,142.32
  4. Step 4: Simplify right side
    5,841.86x = 18,773,278.70
  5. Step 5: Solve for x
    x = 18,773,278.70/5,841.86
  6. Step 6: Final answer
    x = 3,213.58

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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.