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Finding the Fourth Proportional to 4,776.31, 7,165.22 and 2,311.32

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Solution

The fourth proportional to 4,776.31, 7,165.22 and 2,311.32 is: 3,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.31 : 7,165.22 = 2,311.32 : x
  2. Step 2: Convert to fraction form
    4,776.31/7,165.22 = 2,311.32/x
  3. Step 3: Cross multiply
    4,776.31x = 7,165.22 × 2,311.32
  4. Step 4: Simplify right side
    4,776.31x = 16,561,116.29
  5. Step 5: Solve for x
    x = 16,561,116.29/4,776.31
  6. Step 6: Final answer
    x = 3,467.35

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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.