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Finding the Fourth Proportional to 4,649.46, 6,974.64 and 1,362.60

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Solution

The fourth proportional to 4,649.46, 6,974.64 and 1,362.60 is: 2,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.46 : 6,974.64 = 1,362.60 : x
  2. Step 2: Convert to fraction form
    4,649.46/6,974.64 = 1,362.60/x
  3. Step 3: Cross multiply
    4,649.46x = 6,974.64 × 1,362.60
  4. Step 4: Simplify right side
    4,649.46x = 9,503,644.46
  5. Step 5: Solve for x
    x = 9,503,644.46/4,649.46
  6. Step 6: Final answer
    x = 2,044.03

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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.