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Finding the Fourth Proportional to 4,649.21, 6,972.08 and 1,874.94

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Solution

The fourth proportional to 4,649.21, 6,972.08 and 1,874.94 is: 2,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.21 : 6,972.08 = 1,874.94 : x
  2. Step 2: Convert to fraction form
    4,649.21/6,972.08 = 1,874.94/x
  3. Step 3: Cross multiply
    4,649.21x = 6,972.08 × 1,874.94
  4. Step 4: Simplify right side
    4,649.21x = 13,072,222.30
  5. Step 5: Solve for x
    x = 13,072,222.30/4,649.21
  6. Step 6: Final answer
    x = 2,811.71

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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.