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Finding the Fourth Proportional to 4,649.63, 6,974.49 and 1,529.87

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Solution

The fourth proportional to 4,649.63, 6,974.49 and 1,529.87 is: 2,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.63 : 6,974.49 = 1,529.87 : x
  2. Step 2: Convert to fraction form
    4,649.63/6,974.49 = 1,529.87/x
  3. Step 3: Cross multiply
    4,649.63x = 6,974.49 × 1,529.87
  4. Step 4: Simplify right side
    4,649.63x = 10,670,028.14
  5. Step 5: Solve for x
    x = 10,670,028.14/4,649.63
  6. Step 6: Final answer
    x = 2,294.81

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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.