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Finding the Fourth Proportional to 5,477.64, 8,214.96 and 1,967

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Solution

The fourth proportional to 5,477.64, 8,214.96 and 1,967 is: 2,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.64 : 8,214.96 = 1,967 : x
  2. Step 2: Convert to fraction form
    5,477.64/8,214.96 = 1,967/x
  3. Step 3: Cross multiply
    5,477.64x = 8,214.96 × 1,967
  4. Step 4: Simplify right side
    5,477.64x = 16,158,826.32
  5. Step 5: Solve for x
    x = 16,158,826.32/5,477.64
  6. Step 6: Final answer
    x = 2,949.96

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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.