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Finding the Fourth Proportional to 5,933.68, 8,193.91 and 4,763.32

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Solution

The fourth proportional to 5,933.68, 8,193.91 and 4,763.32 is: 6,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.68 : 8,193.91 = 4,763.32 : x
  2. Step 2: Convert to fraction form
    5,933.68/8,193.91 = 4,763.32/x
  3. Step 3: Cross multiply
    5,933.68x = 8,193.91 × 4,763.32
  4. Step 4: Simplify right side
    5,933.68x = 39,030,174.41
  5. Step 5: Solve for x
    x = 39,030,174.41/5,933.68
  6. Step 6: Final answer
    x = 6,577.74

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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.