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Finding the Fourth Proportional to 5,646.84, 8,475.72 and 2,727.20

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Solution

The fourth proportional to 5,646.84, 8,475.72 and 2,727.20 is: 4,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.84 : 8,475.72 = 2,727.20 : x
  2. Step 2: Convert to fraction form
    5,646.84/8,475.72 = 2,727.20/x
  3. Step 3: Cross multiply
    5,646.84x = 8,475.72 × 2,727.20
  4. Step 4: Simplify right side
    5,646.84x = 23,114,983.58
  5. Step 5: Solve for x
    x = 23,114,983.58/5,646.84
  6. Step 6: Final answer
    x = 4,093.44

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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.