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Finding the Fourth Proportional to 5,675.86, 7,832.64 and 3,158.29

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Solution

The fourth proportional to 5,675.86, 7,832.64 and 3,158.29 is: 4,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.86 : 7,832.64 = 3,158.29 : x
  2. Step 2: Convert to fraction form
    5,675.86/7,832.64 = 3,158.29/x
  3. Step 3: Cross multiply
    5,675.86x = 7,832.64 × 3,158.29
  4. Step 4: Simplify right side
    5,675.86x = 24,737,748.59
  5. Step 5: Solve for x
    x = 24,737,748.59/5,675.86
  6. Step 6: Final answer
    x = 4,358.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.