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Finding the Fourth Proportional to 5,689.20, 8,533.78 and 2,611.20

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Solution

The fourth proportional to 5,689.20, 8,533.78 and 2,611.20 is: 3,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.20 : 8,533.78 = 2,611.20 : x
  2. Step 2: Convert to fraction form
    5,689.20/8,533.78 = 2,611.20/x
  3. Step 3: Cross multiply
    5,689.20x = 8,533.78 × 2,611.20
  4. Step 4: Simplify right side
    5,689.20x = 22,283,406.34
  5. Step 5: Solve for x
    x = 22,283,406.34/5,689.20
  6. Step 6: Final answer
    x = 3,916.79

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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.