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Finding the Fourth Proportional to 6,474.80, 8,930.49 and 4,233.08

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Solution

The fourth proportional to 6,474.80, 8,930.49 and 4,233.08 is: 5,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.80 : 8,930.49 = 4,233.08 : x
  2. Step 2: Convert to fraction form
    6,474.80/8,930.49 = 4,233.08/x
  3. Step 3: Cross multiply
    6,474.80x = 8,930.49 × 4,233.08
  4. Step 4: Simplify right side
    6,474.80x = 37,803,478.61
  5. Step 5: Solve for x
    x = 37,803,478.61/6,474.80
  6. Step 6: Final answer
    x = 5,838.56

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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.