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Finding the Fourth Proportional to 5,884.27, 8,827.62 and 1,724.42

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Solution

The fourth proportional to 5,884.27, 8,827.62 and 1,724.42 is: 2,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.27 : 8,827.62 = 1,724.42 : x
  2. Step 2: Convert to fraction form
    5,884.27/8,827.62 = 1,724.42/x
  3. Step 3: Cross multiply
    5,884.27x = 8,827.62 × 1,724.42
  4. Step 4: Simplify right side
    5,884.27x = 15,222,486.81
  5. Step 5: Solve for x
    x = 15,222,486.81/5,884.27
  6. Step 6: Final answer
    x = 2,586.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.