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Finding the Fourth Proportional to 5,689.59, 8,534.54 and 2,181.27

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Solution

The fourth proportional to 5,689.59, 8,534.54 and 2,181.27 is: 3,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.59 : 8,534.54 = 2,181.27 : x
  2. Step 2: Convert to fraction form
    5,689.59/8,534.54 = 2,181.27/x
  3. Step 3: Cross multiply
    5,689.59x = 8,534.54 × 2,181.27
  4. Step 4: Simplify right side
    5,689.59x = 18,616,136.07
  5. Step 5: Solve for x
    x = 18,616,136.07/5,689.59
  6. Step 6: Final answer
    x = 3,271.96

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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.