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Finding the Fourth Proportional to 5,439.77, 8,159.55 and 1,742

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Solution

The fourth proportional to 5,439.77, 8,159.55 and 1,742 is: 2,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.77 : 8,159.55 = 1,742 : x
  2. Step 2: Convert to fraction form
    5,439.77/8,159.55 = 1,742/x
  3. Step 3: Cross multiply
    5,439.77x = 8,159.55 × 1,742
  4. Step 4: Simplify right side
    5,439.77x = 14,213,936.10
  5. Step 5: Solve for x
    x = 14,213,936.10/5,439.77
  6. Step 6: Final answer
    x = 2,612.97

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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.