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Finding the Fourth Proportional to 4,662.12, 6,988.80 and 3,102.60

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Solution

The fourth proportional to 4,662.12, 6,988.80 and 3,102.60 is: 4,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.12 : 6,988.80 = 3,102.60 : x
  2. Step 2: Convert to fraction form
    4,662.12/6,988.80 = 3,102.60/x
  3. Step 3: Cross multiply
    4,662.12x = 6,988.80 × 3,102.60
  4. Step 4: Simplify right side
    4,662.12x = 21,683,450.88
  5. Step 5: Solve for x
    x = 21,683,450.88/4,662.12
  6. Step 6: Final answer
    x = 4,650.99

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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.