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Finding the Fourth Proportional to 4,776.30, 7,166.43 and 2,927.43

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Solution

The fourth proportional to 4,776.30, 7,166.43 and 2,927.43 is: 4,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.30 : 7,166.43 = 2,927.43 : x
  2. Step 2: Convert to fraction form
    4,776.30/7,166.43 = 2,927.43/x
  3. Step 3: Cross multiply
    4,776.30x = 7,166.43 × 2,927.43
  4. Step 4: Simplify right side
    4,776.30x = 20,979,222.17
  5. Step 5: Solve for x
    x = 20,979,222.17/4,776.30
  6. Step 6: Final answer
    x = 4,392.36

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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.