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Finding the Fourth Proportional to 4,649.27, 6,974.93 and 1,529.15

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Solution

The fourth proportional to 4,649.27, 6,974.93 and 1,529.15 is: 2,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.27 : 6,974.93 = 1,529.15 : x
  2. Step 2: Convert to fraction form
    4,649.27/6,974.93 = 1,529.15/x
  3. Step 3: Cross multiply
    4,649.27x = 6,974.93 × 1,529.15
  4. Step 4: Simplify right side
    4,649.27x = 10,665,671.69
  5. Step 5: Solve for x
    x = 10,665,671.69/4,649.27
  6. Step 6: Final answer
    x = 2,294.06

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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.