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Finding the Fourth Proportional to 4,774.93, 7,168.67 and 3,680.21

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Solution

The fourth proportional to 4,774.93, 7,168.67 and 3,680.21 is: 5,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.93 : 7,168.67 = 3,680.21 : x
  2. Step 2: Convert to fraction form
    4,774.93/7,168.67 = 3,680.21/x
  3. Step 3: Cross multiply
    4,774.93x = 7,168.67 × 3,680.21
  4. Step 4: Simplify right side
    4,774.93x = 26,382,211.02
  5. Step 5: Solve for x
    x = 26,382,211.02/4,774.93
  6. Step 6: Final answer
    x = 5,525.15

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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.