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Finding the Fourth Proportional to 5,817.64, 8,727.18 and 1,924.60

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Solution

The fourth proportional to 5,817.64, 8,727.18 and 1,924.60 is: 2,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.64 : 8,727.18 = 1,924.60 : x
  2. Step 2: Convert to fraction form
    5,817.64/8,727.18 = 1,924.60/x
  3. Step 3: Cross multiply
    5,817.64x = 8,727.18 × 1,924.60
  4. Step 4: Simplify right side
    5,817.64x = 16,796,330.63
  5. Step 5: Solve for x
    x = 16,796,330.63/5,817.64
  6. Step 6: Final answer
    x = 2,887.14

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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.