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Finding the Fourth Proportional to 5,662.66, 8,497.30 and 2,375.50

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Solution

The fourth proportional to 5,662.66, 8,497.30 and 2,375.50 is: 3,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.66 : 8,497.30 = 2,375.50 : x
  2. Step 2: Convert to fraction form
    5,662.66/8,497.30 = 2,375.50/x
  3. Step 3: Cross multiply
    5,662.66x = 8,497.30 × 2,375.50
  4. Step 4: Simplify right side
    5,662.66x = 20,185,336.15
  5. Step 5: Solve for x
    x = 20,185,336.15/5,662.66
  6. Step 6: Final answer
    x = 3,564.64

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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.