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Finding the Fourth Proportional to 5,761.68, 8,639.68 and 1,865.58

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Solution

The fourth proportional to 5,761.68, 8,639.68 and 1,865.58 is: 2,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.68 : 8,639.68 = 1,865.58 : x
  2. Step 2: Convert to fraction form
    5,761.68/8,639.68 = 1,865.58/x
  3. Step 3: Cross multiply
    5,761.68x = 8,639.68 × 1,865.58
  4. Step 4: Simplify right side
    5,761.68x = 16,118,014.21
  5. Step 5: Solve for x
    x = 16,118,014.21/5,761.68
  6. Step 6: Final answer
    x = 2,797.45

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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.