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Finding the Fourth Proportional to 4,734.12, 6,524.82 and 4,191.06

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Solution

The fourth proportional to 4,734.12, 6,524.82 and 4,191.06 is: 5,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.12 : 6,524.82 = 4,191.06 : x
  2. Step 2: Convert to fraction form
    4,734.12/6,524.82 = 4,191.06/x
  3. Step 3: Cross multiply
    4,734.12x = 6,524.82 × 4,191.06
  4. Step 4: Simplify right side
    4,734.12x = 27,345,912.11
  5. Step 5: Solve for x
    x = 27,345,912.11/4,734.12
  6. Step 6: Final answer
    x = 5,776.35

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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.